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Finding the Third Proportional to 59,115.75 and 131,351.25

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Solution

The third proportional to 59,115.75 and 131,351.25 is: 291,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115.75 : 131,351.25 = 131,351.25 : x
  2. Step 2: Convert to fraction form
    59,115.75/131,351.25 = 131,351.25/x
  3. Step 3: Cross multiply
    59,115.75x = 131,351.25 × 131,351.25
  4. Step 4: Simplify right side
    59,115.75x = 17,253,150,876.56
  5. Step 5: Solve for x
    x = 17,253,150,876.56/59,115.75
  6. Step 6: Final answer
    x = 291,853.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.