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Finding the Third Proportional to 95,458.50 and 135,712.13

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Solution

The third proportional to 95,458.50 and 135,712.13 is: 192,940.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,458.50 : 135,712.13 = 135,712.13 : x
  2. Step 2: Convert to fraction form
    95,458.50/135,712.13 = 135,712.13/x
  3. Step 3: Cross multiply
    95,458.50x = 135,712.13 × 135,712.13
  4. Step 4: Simplify right side
    95,458.50x = 18,417,780,872.02
  5. Step 5: Solve for x
    x = 18,417,780,872.02/95,458.50
  6. Step 6: Final answer
    x = 192,940.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.