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Finding the Third Proportional to 54,494 and 114,902

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Solution

The third proportional to 54,494 and 114,902 is: 242,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,494 : 114,902 = 114,902 : x
  2. Step 2: Convert to fraction form
    54,494/114,902 = 114,902/x
  3. Step 3: Cross multiply
    54,494x = 114,902 × 114,902
  4. Step 4: Simplify right side
    54,494x = 13,202,469,604
  5. Step 5: Solve for x
    x = 13,202,469,604/54,494
  6. Step 6: Final answer
    x = 242,273.82

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.