The 1970s brought more success for Broyles, led by Razorback standouts Chuck Dicus and Ben Cowins. The 1970 Razorbacks would go 9–2, with the nine consecutive wins bookended by losses in the opener to No. 10 Stanford and the finale to No. 1 Texas. The 1971 Razorbacks went 8–3–1, including upset wins over No. 7 Cal and No. 10 Texas. They were invited to the Liberty Bowl, but lost to No. 9 Tennessee 14–13. The 1972–1974 seasons would be mediocre, as Arkansas struggled to defeat the Texas teams. The Hogs went 11–8–2 against schools in Texas, but failed to beat the University of Texas during the span. The highlight of the period was an upset of No. 5 USC in War Memorial Stadium. Broyles would win his seventh and final Southwest Conference championship in 1975. The contest with Texas A&M was moved until the end of the year, as it was expected to decide the Southwest Conference championship. The Razorbacks did not disappoint, as Arkansas defeated No. 2 Texas A&M, 31–6, in War Memorial Stadium. The win forced the Aggies to share the conference championship with Texas and Arkansas. However, the tie-breaker went to Arkansas, thus Arkansas received the invitation to the Cotton Bowl Classic. The Cotton Bowl Classic berth would also be Broyles' last appearance. Arkansas would fall behind Georgia early on in that game, but came roaring back to beat the Bulldogs easily, 31–10. Arkansas finished with a 10–2 record and finished ranked No. 7 in the AP and No. 6 in the UPI that season. Broyles coached the Razorbacks in 1976, but with limited success, compiling a 5–5–1 record. Broyles retired as Arkansas head coach following the 1976 season, but served as the university's athletics director until December 31, 2007.