Finding the Third Proportional to 73,584 and 161,406
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Solution
The third proportional to 73,584 and 161,406 is: 354,042.96
Step by Step Solution
- Step 1: Write the proportion equation
73,584 : 161,406 = 161,406 : x - Step 2: Convert to fraction form
73,584/161,406 = 161,406/x - Step 3: Cross multiply
73,584x = 161,406 × 161,406 - Step 4: Simplify right side
73,584x = 26,051,896,836 - Step 5: Solve for x
x = 26,051,896,836/73,584 - Step 6: Final answer
x = 354,042.96
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.