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Finding the Third Proportional to 51,270 and 80,266

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Solution

The third proportional to 51,270 and 80,266 is: 125,660.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,270 : 80,266 = 80,266 : x
  2. Step 2: Convert to fraction form
    51,270/80,266 = 80,266/x
  3. Step 3: Cross multiply
    51,270x = 80,266 × 80,266
  4. Step 4: Simplify right side
    51,270x = 6,442,630,756
  5. Step 5: Solve for x
    x = 6,442,630,756/51,270
  6. Step 6: Final answer
    x = 125,660.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.