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Finding the Third Proportional to 80,229 and 124,166

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Solution

The third proportional to 80,229 and 124,166 is: 192,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,229 : 124,166 = 124,166 : x
  2. Step 2: Convert to fraction form
    80,229/124,166 = 124,166/x
  3. Step 3: Cross multiply
    80,229x = 124,166 × 124,166
  4. Step 4: Simplify right side
    80,229x = 15,417,195,556
  5. Step 5: Solve for x
    x = 15,417,195,556/80,229
  6. Step 6: Final answer
    x = 192,164.87

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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.