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Finding the Third Proportional to 51,992 and 80,471

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Solution

The third proportional to 51,992 and 80,471 is: 124,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992 : 80,471 = 80,471 : x
  2. Step 2: Convert to fraction form
    51,992/80,471 = 80,471/x
  3. Step 3: Cross multiply
    51,992x = 80,471 × 80,471
  4. Step 4: Simplify right side
    51,992x = 6,475,581,841
  5. Step 5: Solve for x
    x = 6,475,581,841/51,992
  6. Step 6: Final answer
    x = 124,549.58

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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.