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Finding the Third Proportional to 50,891 and 108,544

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Solution

The third proportional to 50,891 and 108,544 is: 231,510.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,891 : 108,544 = 108,544 : x
  2. Step 2: Convert to fraction form
    50,891/108,544 = 108,544/x
  3. Step 3: Cross multiply
    50,891x = 108,544 × 108,544
  4. Step 4: Simplify right side
    50,891x = 11,781,799,936
  5. Step 5: Solve for x
    x = 11,781,799,936/50,891
  6. Step 6: Final answer
    x = 231,510.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.