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Finding the Third Proportional to 51,840 and 111,051

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Solution

The third proportional to 51,840 and 111,051 is: 237,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 111,051 = 111,051 : x
  2. Step 2: Convert to fraction form
    51,840/111,051 = 111,051/x
  3. Step 3: Cross multiply
    51,840x = 111,051 × 111,051
  4. Step 4: Simplify right side
    51,840x = 12,332,324,601
  5. Step 5: Solve for x
    x = 12,332,324,601/51,840
  6. Step 6: Final answer
    x = 237,892.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.