Dionte Christmas scored 20 points and Mark Tyndale had 18 points and 12 rebounds for the Owls.
The Rams never trailed in the game and led 60-45 with 12:05 left to play. Temple then went on a 17-6 run to close to 66-62. The Owls tied the score 68-68 with 4:18 to go.
Stout's scoring then led to a 78-74 Rams lead with 12.8 seconds remaining.
Tyndale made a layup and stole the inbounds pass. But his 22-foot jumper rimmed out at the buzzer.