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Finding the Third Proportional to 51,992 and 80,652

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Solution

The third proportional to 51,992 and 80,652 is: 125,110.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992 : 80,652 = 80,652 : x
  2. Step 2: Convert to fraction form
    51,992/80,652 = 80,652/x
  3. Step 3: Cross multiply
    51,992x = 80,652 × 80,652
  4. Step 4: Simplify right side
    51,992x = 6,504,745,104
  5. Step 5: Solve for x
    x = 6,504,745,104/51,992
  6. Step 6: Final answer
    x = 125,110.50

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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.