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Finding the Third Proportional to 74,892 and 159,015

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Solution

The third proportional to 74,892 and 159,015 is: 337,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,892 : 159,015 = 159,015 : x
  2. Step 2: Convert to fraction form
    74,892/159,015 = 159,015/x
  3. Step 3: Cross multiply
    74,892x = 159,015 × 159,015
  4. Step 4: Simplify right side
    74,892x = 25,285,770,225
  5. Step 5: Solve for x
    x = 25,285,770,225/74,892
  6. Step 6: Final answer
    x = 337,629.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.