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Finding the Third Proportional to 87,540.75 and 192,098.25

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Solution

The third proportional to 87,540.75 and 192,098.25 is: 421,537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,540.75 : 192,098.25 = 192,098.25 : x
  2. Step 2: Convert to fraction form
    87,540.75/192,098.25 = 192,098.25/x
  3. Step 3: Cross multiply
    87,540.75x = 192,098.25 × 192,098.25
  4. Step 4: Simplify right side
    87,540.75x = 36,901,737,653.06
  5. Step 5: Solve for x
    x = 36,901,737,653.06/87,540.75
  6. Step 6: Final answer
    x = 421,537.83

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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.