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Finding the Third Proportional to 87,762 and 125,412

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Solution

The third proportional to 87,762 and 125,412 is: 179,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,762 : 125,412 = 125,412 : x
  2. Step 2: Convert to fraction form
    87,762/125,412 = 125,412/x
  3. Step 3: Cross multiply
    87,762x = 125,412 × 125,412
  4. Step 4: Simplify right side
    87,762x = 15,728,169,744
  5. Step 5: Solve for x
    x = 15,728,169,744/87,762
  6. Step 6: Final answer
    x = 179,213.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.