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Finding the Third Proportional to 87,741 and 136,734.75

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Solution

The third proportional to 87,741 and 136,734.75 is: 213,086.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,741 : 136,734.75 = 136,734.75 : x
  2. Step 2: Convert to fraction form
    87,741/136,734.75 = 136,734.75/x
  3. Step 3: Cross multiply
    87,741x = 136,734.75 × 136,734.75
  4. Step 4: Simplify right side
    87,741x = 18,696,391,857.56
  5. Step 5: Solve for x
    x = 18,696,391,857.56/87,741
  6. Step 6: Final answer
    x = 213,086.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.