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Finding the Third Proportional to 49,856 and 107,539

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Solution

The third proportional to 49,856 and 107,539 is: 231,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,856 : 107,539 = 107,539 : x
  2. Step 2: Convert to fraction form
    49,856/107,539 = 107,539/x
  3. Step 3: Cross multiply
    49,856x = 107,539 × 107,539
  4. Step 4: Simplify right side
    49,856x = 11,564,636,521
  5. Step 5: Solve for x
    x = 11,564,636,521/49,856
  6. Step 6: Final answer
    x = 231,960.78

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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.