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Finding the Third Proportional to 80,266 and 124,227

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Solution

The third proportional to 80,266 and 124,227 is: 192,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,266 : 124,227 = 124,227 : x
  2. Step 2: Convert to fraction form
    80,266/124,227 = 124,227/x
  3. Step 3: Cross multiply
    80,266x = 124,227 × 124,227
  4. Step 4: Simplify right side
    80,266x = 15,432,347,529
  5. Step 5: Solve for x
    x = 15,432,347,529/80,266
  6. Step 6: Final answer
    x = 192,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.