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Finding the Third Proportional to 69,074 and 107,067

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Solution

The third proportional to 69,074 and 107,067 is: 165,957.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,074 : 107,067 = 107,067 : x
  2. Step 2: Convert to fraction form
    69,074/107,067 = 107,067/x
  3. Step 3: Cross multiply
    69,074x = 107,067 × 107,067
  4. Step 4: Simplify right side
    69,074x = 11,463,342,489
  5. Step 5: Solve for x
    x = 11,463,342,489/69,074
  6. Step 6: Final answer
    x = 165,957.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.