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Finding the Third Proportional to 51,376 and 75,286

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Solution

The third proportional to 51,376 and 75,286 is: 110,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,376 : 75,286 = 75,286 : x
  2. Step 2: Convert to fraction form
    51,376/75,286 = 75,286/x
  3. Step 3: Cross multiply
    51,376x = 75,286 × 75,286
  4. Step 4: Simplify right side
    51,376x = 5,667,981,796
  5. Step 5: Solve for x
    x = 5,667,981,796/51,376
  6. Step 6: Final answer
    x = 110,323.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.