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Finding the Third Proportional to 87,604 and 192,163

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Solution

The third proportional to 87,604 and 192,163 is: 421,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,604 : 192,163 = 192,163 : x
  2. Step 2: Convert to fraction form
    87,604/192,163 = 192,163/x
  3. Step 3: Cross multiply
    87,604x = 192,163 × 192,163
  4. Step 4: Simplify right side
    87,604x = 36,926,618,569
  5. Step 5: Solve for x
    x = 36,926,618,569/87,604
  6. Step 6: Final answer
    x = 421,517.49

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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.