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Finding the Third Proportional to 51,976 and 81,000

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Solution

The third proportional to 51,976 and 81,000 is: 126,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976 : 81,000 = 81,000 : x
  2. Step 2: Convert to fraction form
    51,976/81,000 = 81,000/x
  3. Step 3: Cross multiply
    51,976x = 81,000 × 81,000
  4. Step 4: Simplify right side
    51,976x = 6,561,000,000
  5. Step 5: Solve for x
    x = 6,561,000,000/51,976
  6. Step 6: Final answer
    x = 126,231.34

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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.