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Finding the Third Proportional to 100,098 and 149,067

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Solution

The third proportional to 100,098 and 149,067 is: 221,992.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,098 : 149,067 = 149,067 : x
  2. Step 2: Convert to fraction form
    100,098/149,067 = 149,067/x
  3. Step 3: Cross multiply
    100,098x = 149,067 × 149,067
  4. Step 4: Simplify right side
    100,098x = 22,220,970,489
  5. Step 5: Solve for x
    x = 22,220,970,489/100,098
  6. Step 6: Final answer
    x = 221,992.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.