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Finding the Third Proportional to 80,296 and 122,542

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Solution

The third proportional to 80,296 and 122,542 is: 187,014.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296 : 122,542 = 122,542 : x
  2. Step 2: Convert to fraction form
    80,296/122,542 = 122,542/x
  3. Step 3: Cross multiply
    80,296x = 122,542 × 122,542
  4. Step 4: Simplify right side
    80,296x = 15,016,541,764
  5. Step 5: Solve for x
    x = 15,016,541,764/80,296
  6. Step 6: Final answer
    x = 187,014.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.