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Finding the Third Proportional to 52,389 and 107,199

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Solution

The third proportional to 52,389 and 107,199 is: 219,351.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,389 : 107,199 = 107,199 : x
  2. Step 2: Convert to fraction form
    52,389/107,199 = 107,199/x
  3. Step 3: Cross multiply
    52,389x = 107,199 × 107,199
  4. Step 4: Simplify right side
    52,389x = 11,491,625,601
  5. Step 5: Solve for x
    x = 11,491,625,601/52,389
  6. Step 6: Final answer
    x = 219,351.88

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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.