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Finding the Third Proportional to 51,147 and 114,198

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Solution

The third proportional to 51,147 and 114,198 is: 254,974.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,147 : 114,198 = 114,198 : x
  2. Step 2: Convert to fraction form
    51,147/114,198 = 114,198/x
  3. Step 3: Cross multiply
    51,147x = 114,198 × 114,198
  4. Step 4: Simplify right side
    51,147x = 13,041,183,204
  5. Step 5: Solve for x
    x = 13,041,183,204/51,147
  6. Step 6: Final answer
    x = 254,974.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.