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Finding the Third Proportional to 59,874.75 and 83,251.25

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Solution

The third proportional to 59,874.75 and 83,251.25 is: 115,754.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,874.75 : 83,251.25 = 83,251.25 : x
  2. Step 2: Convert to fraction form
    59,874.75/83,251.25 = 83,251.25/x
  3. Step 3: Cross multiply
    59,874.75x = 83,251.25 × 83,251.25
  4. Step 4: Simplify right side
    59,874.75x = 6,930,770,626.56
  5. Step 5: Solve for x
    x = 6,930,770,626.56/59,874.75
  6. Step 6: Final answer
    x = 115,754.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.