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Finding the Third Proportional to 125,892 and 279,756

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Solution

The third proportional to 125,892 and 279,756 is: 621,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,892 : 279,756 = 279,756 : x
  2. Step 2: Convert to fraction form
    125,892/279,756 = 279,756/x
  3. Step 3: Cross multiply
    125,892x = 279,756 × 279,756
  4. Step 4: Simplify right side
    125,892x = 78,263,419,536
  5. Step 5: Solve for x
    x = 78,263,419,536/125,892
  6. Step 6: Final answer
    x = 621,671.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.