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Finding the Third Proportional to 51,204 and 106,496

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Solution

The third proportional to 51,204 and 106,496 is: 221,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,204 : 106,496 = 106,496 : x
  2. Step 2: Convert to fraction form
    51,204/106,496 = 106,496/x
  3. Step 3: Cross multiply
    51,204x = 106,496 × 106,496
  4. Step 4: Simplify right side
    51,204x = 11,341,398,016
  5. Step 5: Solve for x
    x = 11,341,398,016/51,204
  6. Step 6: Final answer
    x = 221,494.38

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.