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Finding the Third Proportional to 87,524 and 192,544

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Solution

The third proportional to 87,524 and 192,544 is: 423,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524 : 192,544 = 192,544 : x
  2. Step 2: Convert to fraction form
    87,524/192,544 = 192,544/x
  3. Step 3: Cross multiply
    87,524x = 192,544 × 192,544
  4. Step 4: Simplify right side
    87,524x = 37,073,191,936
  5. Step 5: Solve for x
    x = 37,073,191,936/87,524
  6. Step 6: Final answer
    x = 423,577.44

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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.