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Finding the Third Proportional to 80,755 and 113,163

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Solution

The third proportional to 80,755 and 113,163 is: 158,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,755 : 113,163 = 113,163 : x
  2. Step 2: Convert to fraction form
    80,755/113,163 = 113,163/x
  3. Step 3: Cross multiply
    80,755x = 113,163 × 113,163
  4. Step 4: Simplify right side
    80,755x = 12,805,864,569
  5. Step 5: Solve for x
    x = 12,805,864,569/80,755
  6. Step 6: Final answer
    x = 158,576.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.