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Finding the Third Proportional to 87,539 and 132,345

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Solution

The third proportional to 87,539 and 132,345 is: 200,084.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 132,345 = 132,345 : x
  2. Step 2: Convert to fraction form
    87,539/132,345 = 132,345/x
  3. Step 3: Cross multiply
    87,539x = 132,345 × 132,345
  4. Step 4: Simplify right side
    87,539x = 17,515,199,025
  5. Step 5: Solve for x
    x = 17,515,199,025/87,539
  6. Step 6: Final answer
    x = 200,084.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.