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Finding the Third Proportional to 51,993 and 106,449

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Solution

The third proportional to 51,993 and 106,449 is: 217,940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993 : 106,449 = 106,449 : x
  2. Step 2: Convert to fraction form
    51,993/106,449 = 106,449/x
  3. Step 3: Cross multiply
    51,993x = 106,449 × 106,449
  4. Step 4: Simplify right side
    51,993x = 11,331,389,601
  5. Step 5: Solve for x
    x = 11,331,389,601/51,993
  6. Step 6: Final answer
    x = 217,940.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.