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Finding the Third Proportional to 27,135 and 57,186

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Solution

The third proportional to 27,135 and 57,186 is: 120,517.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135 : 57,186 = 57,186 : x
  2. Step 2: Convert to fraction form
    27,135/57,186 = 57,186/x
  3. Step 3: Cross multiply
    27,135x = 57,186 × 57,186
  4. Step 4: Simplify right side
    27,135x = 3,270,238,596
  5. Step 5: Solve for x
    x = 3,270,238,596/27,135
  6. Step 6: Final answer
    x = 120,517.36

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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.