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Finding the Third Proportional to 80,949 and 120,591

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Solution

The third proportional to 80,949 and 120,591 is: 179,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,949 : 120,591 = 120,591 : x
  2. Step 2: Convert to fraction form
    80,949/120,591 = 120,591/x
  3. Step 3: Cross multiply
    80,949x = 120,591 × 120,591
  4. Step 4: Simplify right side
    80,949x = 14,542,189,281
  5. Step 5: Solve for x
    x = 14,542,189,281/80,949
  6. Step 6: Final answer
    x = 179,646.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.