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Finding the Third Proportional to 87,571 and 192,637

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Solution

The third proportional to 87,571 and 192,637 is: 423,759.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,571 : 192,637 = 192,637 : x
  2. Step 2: Convert to fraction form
    87,571/192,637 = 192,637/x
  3. Step 3: Cross multiply
    87,571x = 192,637 × 192,637
  4. Step 4: Simplify right side
    87,571x = 37,109,013,769
  5. Step 5: Solve for x
    x = 37,109,013,769/87,571
  6. Step 6: Final answer
    x = 423,759.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.