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Finding the Third Proportional to 80,706 and 164,691

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Solution

The third proportional to 80,706 and 164,691 is: 336,073.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706 : 164,691 = 164,691 : x
  2. Step 2: Convert to fraction form
    80,706/164,691 = 164,691/x
  3. Step 3: Cross multiply
    80,706x = 164,691 × 164,691
  4. Step 4: Simplify right side
    80,706x = 27,123,125,481
  5. Step 5: Solve for x
    x = 27,123,125,481/80,706
  6. Step 6: Final answer
    x = 336,073.22

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.