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Finding the Third Proportional to 87,732 and 125,461

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Solution

The third proportional to 87,732 and 125,461 is: 179,415.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,732 : 125,461 = 125,461 : x
  2. Step 2: Convert to fraction form
    87,732/125,461 = 125,461/x
  3. Step 3: Cross multiply
    87,732x = 125,461 × 125,461
  4. Step 4: Simplify right side
    87,732x = 15,740,462,521
  5. Step 5: Solve for x
    x = 15,740,462,521/87,732
  6. Step 6: Final answer
    x = 179,415.29

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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.