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Finding the Third Proportional to 49,794 and 104,204

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Solution

The third proportional to 49,794 and 104,204 is: 218,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,794 : 104,204 = 104,204 : x
  2. Step 2: Convert to fraction form
    49,794/104,204 = 104,204/x
  3. Step 3: Cross multiply
    49,794x = 104,204 × 104,204
  4. Step 4: Simplify right side
    49,794x = 10,858,473,616
  5. Step 5: Solve for x
    x = 10,858,473,616/49,794
  6. Step 6: Final answer
    x = 218,067.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.