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Finding the Third Proportional to 63,005 and 84,067

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Solution

The third proportional to 63,005 and 84,067 is: 112,169.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,005 : 84,067 = 84,067 : x
  2. Step 2: Convert to fraction form
    63,005/84,067 = 84,067/x
  3. Step 3: Cross multiply
    63,005x = 84,067 × 84,067
  4. Step 4: Simplify right side
    63,005x = 7,067,260,489
  5. Step 5: Solve for x
    x = 7,067,260,489/63,005
  6. Step 6: Final answer
    x = 112,169.84

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.