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Finding the Third Proportional to 87,730 and 192,952

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Solution

The third proportional to 87,730 and 192,952 is: 424,375.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,730 : 192,952 = 192,952 : x
  2. Step 2: Convert to fraction form
    87,730/192,952 = 192,952/x
  3. Step 3: Cross multiply
    87,730x = 192,952 × 192,952
  4. Step 4: Simplify right side
    87,730x = 37,230,474,304
  5. Step 5: Solve for x
    x = 37,230,474,304/87,730
  6. Step 6: Final answer
    x = 424,375.63

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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.