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Finding the Third Proportional to 87,532 and 192,080

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Solution

The third proportional to 87,532 and 192,080 is: 421,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,532 : 192,080 = 192,080 : x
  2. Step 2: Convert to fraction form
    87,532/192,080 = 192,080/x
  3. Step 3: Cross multiply
    87,532x = 192,080 × 192,080
  4. Step 4: Simplify right side
    87,532x = 36,894,726,400
  5. Step 5: Solve for x
    x = 36,894,726,400/87,532
  6. Step 6: Final answer
    x = 421,499.87

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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.