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Finding the Third Proportional to 51,512 and 119,251

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Solution

The third proportional to 51,512 and 119,251 is: 276,067.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512 : 119,251 = 119,251 : x
  2. Step 2: Convert to fraction form
    51,512/119,251 = 119,251/x
  3. Step 3: Cross multiply
    51,512x = 119,251 × 119,251
  4. Step 4: Simplify right side
    51,512x = 14,220,801,001
  5. Step 5: Solve for x
    x = 14,220,801,001/51,512
  6. Step 6: Final answer
    x = 276,067.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.