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Finding the Third Proportional to 51,996 and 106,452

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Solution

The third proportional to 51,996 and 106,452 is: 217,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,996 : 106,452 = 106,452 : x
  2. Step 2: Convert to fraction form
    51,996/106,452 = 106,452/x
  3. Step 3: Cross multiply
    51,996x = 106,452 × 106,452
  4. Step 4: Simplify right side
    51,996x = 11,332,028,304
  5. Step 5: Solve for x
    x = 11,332,028,304/51,996
  6. Step 6: Final answer
    x = 217,940.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.