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Finding the Third Proportional to 27,177 and 57,309

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Solution

The third proportional to 27,177 and 57,309 is: 120,849.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,177 : 57,309 = 57,309 : x
  2. Step 2: Convert to fraction form
    27,177/57,309 = 57,309/x
  3. Step 3: Cross multiply
    27,177x = 57,309 × 57,309
  4. Step 4: Simplify right side
    27,177x = 3,284,321,481
  5. Step 5: Solve for x
    x = 3,284,321,481/27,177
  6. Step 6: Final answer
    x = 120,849.30

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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.