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Finding the Third Proportional to 54,247 and 111,977

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Solution

The third proportional to 54,247 and 111,977 is: 231,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,247 : 111,977 = 111,977 : x
  2. Step 2: Convert to fraction form
    54,247/111,977 = 111,977/x
  3. Step 3: Cross multiply
    54,247x = 111,977 × 111,977
  4. Step 4: Simplify right side
    54,247x = 12,538,848,529
  5. Step 5: Solve for x
    x = 12,538,848,529/54,247
  6. Step 6: Final answer
    x = 231,143.63

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.