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Finding the Third Proportional to 51,964 and 111,941

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Solution

The third proportional to 51,964 and 111,941 is: 241,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 111,941 = 111,941 : x
  2. Step 2: Convert to fraction form
    51,964/111,941 = 111,941/x
  3. Step 3: Cross multiply
    51,964x = 111,941 × 111,941
  4. Step 4: Simplify right side
    51,964x = 12,530,787,481
  5. Step 5: Solve for x
    x = 12,530,787,481/51,964
  6. Step 6: Final answer
    x = 241,143.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.