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Finding the Third Proportional to 87,732 and 192,536

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Solution

The third proportional to 87,732 and 192,536 is: 422,538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,732 : 192,536 = 192,536 : x
  2. Step 2: Convert to fraction form
    87,732/192,536 = 192,536/x
  3. Step 3: Cross multiply
    87,732x = 192,536 × 192,536
  4. Step 4: Simplify right side
    87,732x = 37,070,111,296
  5. Step 5: Solve for x
    x = 37,070,111,296/87,732
  6. Step 6: Final answer
    x = 422,538.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.