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Finding the Third Proportional to 27,892 and 60,164

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Solution

The third proportional to 27,892 and 60,164 is: 129,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 60,164 = 60,164 : x
  2. Step 2: Convert to fraction form
    27,892/60,164 = 60,164/x
  3. Step 3: Cross multiply
    27,892x = 60,164 × 60,164
  4. Step 4: Simplify right side
    27,892x = 3,619,706,896
  5. Step 5: Solve for x
    x = 3,619,706,896/27,892
  6. Step 6: Final answer
    x = 129,775.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.