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Finding the Third Proportional to 80,876 and 165,766

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Solution

The third proportional to 80,876 and 165,766 is: 339,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,876 : 165,766 = 165,766 : x
  2. Step 2: Convert to fraction form
    80,876/165,766 = 165,766/x
  3. Step 3: Cross multiply
    80,876x = 165,766 × 165,766
  4. Step 4: Simplify right side
    80,876x = 27,478,366,756
  5. Step 5: Solve for x
    x = 27,478,366,756/80,876
  6. Step 6: Final answer
    x = 339,759.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.