2021 Pascal Problem 1

Point Q is on a line segment between P and R, as shown. If PR = 12 and PQ = 3, what is the length of QR?

\textbf{(A)}\ 6\quad \textbf{(B)}\ 10\quad \textbf{(C)}\ 8\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 4

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.