The Bulldogs (4-3) trailed 13-10 in the third quarter before Blake Erickson put them on top with field goals of 34 and 32 yards.
South Carolina State then went on a 16-play, 80-yard drive finished off by Cue’s touchdown run with 5:23 remaining to hand the Panthers their fifth straight loss.
The Panthers committed their third turnover of the game, all coming via interception, on the ensuing drive as Bo Schlechter’s pass was picked off by South Carolina State’s Donovan Richard on third-and-10 from the Panthers’ 34.
Cue finished with 213 yards on 16 of 30 passing, and added 45 more with two touchdowns on 12 carries.
Kelton Hill had 94 yards on 16 carries for Georgia State (1-5).