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Finding the Third Proportional to 49,098 and 74,199

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Solution

The third proportional to 49,098 and 74,199 is: 112,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098 : 74,199 = 74,199 : x
  2. Step 2: Convert to fraction form
    49,098/74,199 = 74,199/x
  3. Step 3: Cross multiply
    49,098x = 74,199 × 74,199
  4. Step 4: Simplify right side
    49,098x = 5,505,491,601
  5. Step 5: Solve for x
    x = 5,505,491,601/49,098
  6. Step 6: Final answer
    x = 112,132.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.