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Finding the Third Proportional to 49,341 and 107,067

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Solution

The third proportional to 49,341 and 107,067 is: 232,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,341 : 107,067 = 107,067 : x
  2. Step 2: Convert to fraction form
    49,341/107,067 = 107,067/x
  3. Step 3: Cross multiply
    49,341x = 107,067 × 107,067
  4. Step 4: Simplify right side
    49,341x = 11,463,342,489
  5. Step 5: Solve for x
    x = 11,463,342,489/49,341
  6. Step 6: Final answer
    x = 232,328.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.