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Finding the Third Proportional to 27,179 and 55,177

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Solution

The third proportional to 27,179 and 55,177 is: 112,016.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,179 : 55,177 = 55,177 : x
  2. Step 2: Convert to fraction form
    27,179/55,177 = 55,177/x
  3. Step 3: Cross multiply
    27,179x = 55,177 × 55,177
  4. Step 4: Simplify right side
    27,179x = 3,044,501,329
  5. Step 5: Solve for x
    x = 3,044,501,329/27,179
  6. Step 6: Final answer
    x = 112,016.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.