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Finding the Third Proportional to 59,917 and 131,613

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Solution

The third proportional to 59,917 and 131,613 is: 289,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,917 : 131,613 = 131,613 : x
  2. Step 2: Convert to fraction form
    59,917/131,613 = 131,613/x
  3. Step 3: Cross multiply
    59,917x = 131,613 × 131,613
  4. Step 4: Simplify right side
    59,917x = 17,321,981,769
  5. Step 5: Solve for x
    x = 17,321,981,769/59,917
  6. Step 6: Final answer
    x = 289,099.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.