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Finding the Third Proportional to 39,868 and 61,199

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Solution

The third proportional to 39,868 and 61,199 is: 93,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,868 : 61,199 = 61,199 : x
  2. Step 2: Convert to fraction form
    39,868/61,199 = 61,199/x
  3. Step 3: Cross multiply
    39,868x = 61,199 × 61,199
  4. Step 4: Simplify right side
    39,868x = 3,745,317,601
  5. Step 5: Solve for x
    x = 3,745,317,601/39,868
  6. Step 6: Final answer
    x = 93,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.