smc

Inside square $ABCD$ (See figure) with sides of length $12$ inches, segment $AE$ is drawn where $E$ is the point on $DC$ which is $5$ inches from $D$. The perpendicular bisector of $AE$ is drawn and intersects $AE,AD$, and $BC$ at points $M,P$, and $Q$ respectively. The ratio of segment $PM$ to $MQ$ is