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Finding the Third Proportional to 126,279 and 195,048

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Solution

The third proportional to 126,279 and 195,048 is: 301,267.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,279 : 195,048 = 195,048 : x
  2. Step 2: Convert to fraction form
    126,279/195,048 = 195,048/x
  3. Step 3: Cross multiply
    126,279x = 195,048 × 195,048
  4. Step 4: Simplify right side
    126,279x = 38,043,722,304
  5. Step 5: Solve for x
    x = 38,043,722,304/126,279
  6. Step 6: Final answer
    x = 301,267.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.