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Finding the Third Proportional to 27,144 and 57,204

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Solution

The third proportional to 27,144 and 57,204 is: 120,553.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 57,204 = 57,204 : x
  2. Step 2: Convert to fraction form
    27,144/57,204 = 57,204/x
  3. Step 3: Cross multiply
    27,144x = 57,204 × 57,204
  4. Step 4: Simplify right side
    27,144x = 3,272,297,616
  5. Step 5: Solve for x
    x = 3,272,297,616/27,144
  6. Step 6: Final answer
    x = 120,553.26

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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.