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Finding the Third Proportional to 87,539 and 128,204

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Solution

The third proportional to 87,539 and 128,204 is: 187,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,539 : 128,204 = 128,204 : x
  2. Step 2: Convert to fraction form
    87,539/128,204 = 128,204/x
  3. Step 3: Cross multiply
    87,539x = 128,204 × 128,204
  4. Step 4: Simplify right side
    87,539x = 16,436,265,616
  5. Step 5: Solve for x
    x = 16,436,265,616/87,539
  6. Step 6: Final answer
    x = 187,759.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.