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Finding the Third Proportional to 105,876 and 226,107

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Solution

The third proportional to 105,876 and 226,107 is: 482,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 226,107 = 226,107 : x
  2. Step 2: Convert to fraction form
    105,876/226,107 = 226,107/x
  3. Step 3: Cross multiply
    105,876x = 226,107 × 226,107
  4. Step 4: Simplify right side
    105,876x = 51,124,375,449
  5. Step 5: Solve for x
    x = 51,124,375,449/105,876
  6. Step 6: Final answer
    x = 482,870.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.