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Finding the Third Proportional to 49,518 and 108,067

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Solution

The third proportional to 49,518 and 108,067 is: 235,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518 : 108,067 = 108,067 : x
  2. Step 2: Convert to fraction form
    49,518/108,067 = 108,067/x
  3. Step 3: Cross multiply
    49,518x = 108,067 × 108,067
  4. Step 4: Simplify right side
    49,518x = 11,678,476,489
  5. Step 5: Solve for x
    x = 11,678,476,489/49,518
  6. Step 6: Final answer
    x = 235,843.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.