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Finding the Third Proportional to 51,279 and 111,306

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Solution

The third proportional to 51,279 and 111,306 is: 241,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,279 : 111,306 = 111,306 : x
  2. Step 2: Convert to fraction form
    51,279/111,306 = 111,306/x
  3. Step 3: Cross multiply
    51,279x = 111,306 × 111,306
  4. Step 4: Simplify right side
    51,279x = 12,389,025,636
  5. Step 5: Solve for x
    x = 12,389,025,636/51,279
  6. Step 6: Final answer
    x = 241,600.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.