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Finding the Third Proportional to 49,809 and 107,394

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Solution

The third proportional to 49,809 and 107,394 is: 231,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,809 : 107,394 = 107,394 : x
  2. Step 2: Convert to fraction form
    49,809/107,394 = 107,394/x
  3. Step 3: Cross multiply
    49,809x = 107,394 × 107,394
  4. Step 4: Simplify right side
    49,809x = 11,533,471,236
  5. Step 5: Solve for x
    x = 11,533,471,236/49,809
  6. Step 6: Final answer
    x = 231,553.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.