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Finding the Third Proportional to 29,277 and 62,199

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Solution

The third proportional to 29,277 and 62,199 is: 132,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,277 : 62,199 = 62,199 : x
  2. Step 2: Convert to fraction form
    29,277/62,199 = 62,199/x
  3. Step 3: Cross multiply
    29,277x = 62,199 × 62,199
  4. Step 4: Simplify right side
    29,277x = 3,868,715,601
  5. Step 5: Solve for x
    x = 3,868,715,601/29,277
  6. Step 6: Final answer
    x = 132,141.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.