\[a_{1} + a_{2} = 132;\ \ \frac{a_{3}}{a_{1}} = 3:\]
\[1)\ a_{1} + a_{1} + d = 132\]
\[2a_{1} + d = 132\]
\[2a_{1} = 132 - d.\]
\[2)\ a_{3} = 3a_{1}\]
\[a_{1} + 2d = 3a_{1}\]
\[2a_{1} = 2d.\]
\[3)\ 132 - d = 2d\]
\[3d = 132\]
\[d = 44.\]
\[4)\ 2a_{1} = 2d = 88\]
\[a_{1} = 44.\]
\[a_{2} = 44 + 44 = 88.\]
\[a_{3} = 88 + 44 = 132.\]
\[Наименьшее\ число:44.\]
\[Ответ:44.\]