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Finding the Third Proportional to 99,648 and 149,067

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Solution

The third proportional to 99,648 and 149,067 is: 222,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,648 : 149,067 = 149,067 : x
  2. Step 2: Convert to fraction form
    99,648/149,067 = 149,067/x
  3. Step 3: Cross multiply
    99,648x = 149,067 × 149,067
  4. Step 4: Simplify right side
    99,648x = 22,220,970,489
  5. Step 5: Solve for x
    x = 22,220,970,489/99,648
  6. Step 6: Final answer
    x = 222,994.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.