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Finding the Third Proportional to 80,789 and 165,601

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Solution

The third proportional to 80,789 and 165,601 is: 339,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,789 : 165,601 = 165,601 : x
  2. Step 2: Convert to fraction form
    80,789/165,601 = 165,601/x
  3. Step 3: Cross multiply
    80,789x = 165,601 × 165,601
  4. Step 4: Simplify right side
    80,789x = 27,423,691,201
  5. Step 5: Solve for x
    x = 27,423,691,201/80,789
  6. Step 6: Final answer
    x = 339,448.33

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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.