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Finding the Third Proportional to 87,522 and 192,063

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Solution

The third proportional to 87,522 and 192,063 is: 421,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,522 : 192,063 = 192,063 : x
  2. Step 2: Convert to fraction form
    87,522/192,063 = 192,063/x
  3. Step 3: Cross multiply
    87,522x = 192,063 × 192,063
  4. Step 4: Simplify right side
    87,522x = 36,888,195,969
  5. Step 5: Solve for x
    x = 36,888,195,969/87,522
  6. Step 6: Final answer
    x = 421,473.41

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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.