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Finding the Third Proportional to 54,024 and 110,204

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Solution

The third proportional to 54,024 and 110,204 is: 224,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,024 : 110,204 = 110,204 : x
  2. Step 2: Convert to fraction form
    54,024/110,204 = 110,204/x
  3. Step 3: Cross multiply
    54,024x = 110,204 × 110,204
  4. Step 4: Simplify right side
    54,024x = 12,144,921,616
  5. Step 5: Solve for x
    x = 12,144,921,616/54,024
  6. Step 6: Final answer
    x = 224,806.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.