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Finding the Third Proportional to 54,382 and 119,798

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Solution

The third proportional to 54,382 and 119,798 is: 263,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,382 : 119,798 = 119,798 : x
  2. Step 2: Convert to fraction form
    54,382/119,798 = 119,798/x
  3. Step 3: Cross multiply
    54,382x = 119,798 × 119,798
  4. Step 4: Simplify right side
    54,382x = 14,351,560,804
  5. Step 5: Solve for x
    x = 14,351,560,804/54,382
  6. Step 6: Final answer
    x = 263,902.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.