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Finding the Third Proportional to 54,906.75 and 119,472.75

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Solution

The third proportional to 54,906.75 and 119,472.75 is: 259,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,906.75 : 119,472.75 = 119,472.75 : x
  2. Step 2: Convert to fraction form
    54,906.75/119,472.75 = 119,472.75/x
  3. Step 3: Cross multiply
    54,906.75x = 119,472.75 × 119,472.75
  4. Step 4: Simplify right side
    54,906.75x = 14,273,737,992.56
  5. Step 5: Solve for x
    x = 14,273,737,992.56/54,906.75
  6. Step 6: Final answer
    x = 259,963.26

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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.