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Finding the Third Proportional to 49,397 and 108,163

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Solution

The third proportional to 49,397 and 108,163 is: 236,840.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,397 : 108,163 = 108,163 : x
  2. Step 2: Convert to fraction form
    49,397/108,163 = 108,163/x
  3. Step 3: Cross multiply
    49,397x = 108,163 × 108,163
  4. Step 4: Simplify right side
    49,397x = 11,699,234,569
  5. Step 5: Solve for x
    x = 11,699,234,569/49,397
  6. Step 6: Final answer
    x = 236,840.99

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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.