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Finding the Third Proportional to 87,538.50 and 192,099

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Solution

The third proportional to 87,538.50 and 192,099 is: 421,551.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,538.50 : 192,099 = 192,099 : x
  2. Step 2: Convert to fraction form
    87,538.50/192,099 = 192,099/x
  3. Step 3: Cross multiply
    87,538.50x = 192,099 × 192,099
  4. Step 4: Simplify right side
    87,538.50x = 36,902,025,801
  5. Step 5: Solve for x
    x = 36,902,025,801/87,538.50
  6. Step 6: Final answer
    x = 421,551.95

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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.