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Finding the Third Proportional to 49,966 and 74,192

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Solution

The third proportional to 49,966 and 74,192 is: 110,163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,966 : 74,192 = 74,192 : x
  2. Step 2: Convert to fraction form
    49,966/74,192 = 74,192/x
  3. Step 3: Cross multiply
    49,966x = 74,192 × 74,192
  4. Step 4: Simplify right side
    49,966x = 5,504,452,864
  5. Step 5: Solve for x
    x = 5,504,452,864/49,966
  6. Step 6: Final answer
    x = 110,163.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.