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Finding the Third Proportional to 126,292 and 195,067

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Solution

The third proportional to 126,292 and 195,067 is: 301,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,292 : 195,067 = 195,067 : x
  2. Step 2: Convert to fraction form
    126,292/195,067 = 195,067/x
  3. Step 3: Cross multiply
    126,292x = 195,067 × 195,067
  4. Step 4: Simplify right side
    126,292x = 38,051,134,489
  5. Step 5: Solve for x
    x = 38,051,134,489/126,292
  6. Step 6: Final answer
    x = 301,294.89

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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.