\textbf{130.} Two circles with radii $4$ and $8$ are internally tangent at point $A$. A chord $BC$ of the large circle is tangent to the small circle, and the line through the center of the small circle parallel to the radical axis passes through point $P$. What is $PB \times PC$?
\hspace{1cm} (1) $24$ \hspace{2cm} (2) $32$ \hspace{2cm} (3) $36$ \hspace{2cm} (4) $48$
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