Finding the Third Proportional to 73,442 and 109,886
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Solution
The third proportional to 73,442 and 109,886 is: 164,414.54
Step by Step Solution
- Step 1: Write the proportion equation
73,442 : 109,886 = 109,886 : x - Step 2: Convert to fraction form
73,442/109,886 = 109,886/x - Step 3: Cross multiply
73,442x = 109,886 × 109,886 - Step 4: Simplify right side
73,442x = 12,074,932,996 - Step 5: Solve for x
x = 12,074,932,996/73,442 - Step 6: Final answer
x = 164,414.54
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.