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Finding the Third Proportional to 25,198 and 54,812

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Solution

The third proportional to 25,198 and 54,812 is: 119,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,198 : 54,812 = 54,812 : x
  2. Step 2: Convert to fraction form
    25,198/54,812 = 54,812/x
  3. Step 3: Cross multiply
    25,198x = 54,812 × 54,812
  4. Step 4: Simplify right side
    25,198x = 3,004,355,344
  5. Step 5: Solve for x
    x = 3,004,355,344/25,198
  6. Step 6: Final answer
    x = 119,229.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.