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Finding the Third Proportional to 49,355 and 108,311

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Solution

The third proportional to 49,355 and 108,311 is: 237,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,355 : 108,311 = 108,311 : x
  2. Step 2: Convert to fraction form
    49,355/108,311 = 108,311/x
  3. Step 3: Cross multiply
    49,355x = 108,311 × 108,311
  4. Step 4: Simplify right side
    49,355x = 11,731,272,721
  5. Step 5: Solve for x
    x = 11,731,272,721/49,355
  6. Step 6: Final answer
    x = 237,691.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.