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Finding the Third Proportional to 51,934 and 80,331

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Solution

The third proportional to 51,934 and 80,331 is: 124,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,934 : 80,331 = 80,331 : x
  2. Step 2: Convert to fraction form
    51,934/80,331 = 80,331/x
  3. Step 3: Cross multiply
    51,934x = 80,331 × 80,331
  4. Step 4: Simplify right side
    51,934x = 6,453,069,561
  5. Step 5: Solve for x
    x = 6,453,069,561/51,934
  6. Step 6: Final answer
    x = 124,255.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.