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Finding the Third Proportional to 27,144 and 55,404

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Solution

The third proportional to 27,144 and 55,404 is: 113,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 55,404 = 55,404 : x
  2. Step 2: Convert to fraction form
    27,144/55,404 = 55,404/x
  3. Step 3: Cross multiply
    27,144x = 55,404 × 55,404
  4. Step 4: Simplify right side
    27,144x = 3,069,603,216
  5. Step 5: Solve for x
    x = 3,069,603,216/27,144
  6. Step 6: Final answer
    x = 113,085.88

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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.