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Finding the Third Proportional to 51,756 and 80,170

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Solution

The third proportional to 51,756 and 80,170 is: 124,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,756 : 80,170 = 80,170 : x
  2. Step 2: Convert to fraction form
    51,756/80,170 = 80,170/x
  3. Step 3: Cross multiply
    51,756x = 80,170 × 80,170
  4. Step 4: Simplify right side
    51,756x = 6,427,228,900
  5. Step 5: Solve for x
    x = 6,427,228,900/51,756
  6. Step 6: Final answer
    x = 124,183.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.