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Finding the Third Proportional to 87,652 and 192,872

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Solution

The third proportional to 87,652 and 192,872 is: 424,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,652 : 192,872 = 192,872 : x
  2. Step 2: Convert to fraction form
    87,652/192,872 = 192,872/x
  3. Step 3: Cross multiply
    87,652x = 192,872 × 192,872
  4. Step 4: Simplify right side
    87,652x = 37,199,608,384
  5. Step 5: Solve for x
    x = 37,199,608,384/87,652
  6. Step 6: Final answer
    x = 424,401.14

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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.