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Finding the Third Proportional to 126,279 and 196,059

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Solution

The third proportional to 126,279 and 196,059 is: 304,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,279 : 196,059 = 196,059 : x
  2. Step 2: Convert to fraction form
    126,279/196,059 = 196,059/x
  3. Step 3: Cross multiply
    126,279x = 196,059 × 196,059
  4. Step 4: Simplify right side
    126,279x = 38,439,131,481
  5. Step 5: Solve for x
    x = 38,439,131,481/126,279
  6. Step 6: Final answer
    x = 304,398.45

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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.