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Finding the Third Proportional to 27,177 and 55,173

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Solution

The third proportional to 27,177 and 55,173 is: 112,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177 : 55,173 = 55,173 : x
  2. Step 2: Convert to fraction form
    27,177/55,173 = 55,173/x
  3. Step 3: Cross multiply
    27,177x = 55,173 × 55,173
  4. Step 4: Simplify right side
    27,177x = 3,044,059,929
  5. Step 5: Solve for x
    x = 3,044,059,929/27,177
  6. Step 6: Final answer
    x = 112,008.68

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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.