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Finding the Third Proportional to 106,812 and 227,922

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Solution

The third proportional to 106,812 and 227,922 is: 486,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,812 : 227,922 = 227,922 : x
  2. Step 2: Convert to fraction form
    106,812/227,922 = 227,922/x
  3. Step 3: Cross multiply
    106,812x = 227,922 × 227,922
  4. Step 4: Simplify right side
    106,812x = 51,948,438,084
  5. Step 5: Solve for x
    x = 51,948,438,084/106,812
  6. Step 6: Final answer
    x = 486,353.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.