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Finding the Third Proportional to 51,972 and 80,997

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Solution

The third proportional to 51,972 and 80,997 is: 126,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 80,997 = 80,997 : x
  2. Step 2: Convert to fraction form
    51,972/80,997 = 80,997/x
  3. Step 3: Cross multiply
    51,972x = 80,997 × 80,997
  4. Step 4: Simplify right side
    51,972x = 6,560,514,009
  5. Step 5: Solve for x
    x = 6,560,514,009/51,972
  6. Step 6: Final answer
    x = 126,231.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.