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Finding the Third Proportional to 51,977 and 125,676

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Solution

The third proportional to 51,977 and 125,676 is: 303,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,977 : 125,676 = 125,676 : x
  2. Step 2: Convert to fraction form
    51,977/125,676 = 125,676/x
  3. Step 3: Cross multiply
    51,977x = 125,676 × 125,676
  4. Step 4: Simplify right side
    51,977x = 15,794,456,976
  5. Step 5: Solve for x
    x = 15,794,456,976/51,977
  6. Step 6: Final answer
    x = 303,873.96

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.