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Finding the Third Proportional to 87,400 and 131,531

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Solution

The third proportional to 87,400 and 131,531 is: 197,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,400 : 131,531 = 131,531 : x
  2. Step 2: Convert to fraction form
    87,400/131,531 = 131,531/x
  3. Step 3: Cross multiply
    87,400x = 131,531 × 131,531
  4. Step 4: Simplify right side
    87,400x = 17,300,403,961
  5. Step 5: Solve for x
    x = 17,300,403,961/87,400
  6. Step 6: Final answer
    x = 197,945.13

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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.