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Finding the Third Proportional to 49,940 and 107,293

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Solution

The third proportional to 49,940 and 107,293 is: 230,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,940 : 107,293 = 107,293 : x
  2. Step 2: Convert to fraction form
    49,940/107,293 = 107,293/x
  3. Step 3: Cross multiply
    49,940x = 107,293 × 107,293
  4. Step 4: Simplify right side
    49,940x = 11,511,787,849
  5. Step 5: Solve for x
    x = 11,511,787,849/49,940
  6. Step 6: Final answer
    x = 230,512.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.