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Finding the Third Proportional to 54,777 and 119,601

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Solution

The third proportional to 54,777 and 119,601 is: 261,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,777 : 119,601 = 119,601 : x
  2. Step 2: Convert to fraction form
    54,777/119,601 = 119,601/x
  3. Step 3: Cross multiply
    54,777x = 119,601 × 119,601
  4. Step 4: Simplify right side
    54,777x = 14,304,399,201
  5. Step 5: Solve for x
    x = 14,304,399,201/54,777
  6. Step 6: Final answer
    x = 261,138.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.