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Finding the Third Proportional to 67,974.75 and 159,932.25

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Solution

The third proportional to 67,974.75 and 159,932.25 is: 376,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,974.75 : 159,932.25 = 159,932.25 : x
  2. Step 2: Convert to fraction form
    67,974.75/159,932.25 = 159,932.25/x
  3. Step 3: Cross multiply
    67,974.75x = 159,932.25 × 159,932.25
  4. Step 4: Simplify right side
    67,974.75x = 25,578,324,590.06
  5. Step 5: Solve for x
    x = 25,578,324,590.06/67,974.75
  6. Step 6: Final answer
    x = 376,291.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.