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Finding the Third Proportional to 83,778 and 125,847

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Solution

The third proportional to 83,778 and 125,847 is: 189,040.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,778 : 125,847 = 125,847 : x
  2. Step 2: Convert to fraction form
    83,778/125,847 = 125,847/x
  3. Step 3: Cross multiply
    83,778x = 125,847 × 125,847
  4. Step 4: Simplify right side
    83,778x = 15,837,467,409
  5. Step 5: Solve for x
    x = 15,837,467,409/83,778
  6. Step 6: Final answer
    x = 189,040.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.