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Finding the Third Proportional to 87,734.39 and 141,251.34

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Solution

The third proportional to 87,734.39 and 141,251.34 is: 227,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,734.39 : 141,251.34 = 141,251.34 : x
  2. Step 2: Convert to fraction form
    87,734.39/141,251.34 = 141,251.34/x
  3. Step 3: Cross multiply
    87,734.39x = 141,251.34 × 141,251.34
  4. Step 4: Simplify right side
    87,734.39x = 19,951,942,111.18
  5. Step 5: Solve for x
    x = 19,951,942,111.18/87,734.39
  6. Step 6: Final answer
    x = 227,413.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.