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Finding the Third Proportional to 84,912.75 and 179,940.38

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Solution

The third proportional to 84,912.75 and 179,940.38 is: 381,315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912.75 : 179,940.38 = 179,940.38 : x
  2. Step 2: Convert to fraction form
    84,912.75/179,940.38 = 179,940.38/x
  3. Step 3: Cross multiply
    84,912.75x = 179,940.38 × 179,940.38
  4. Step 4: Simplify right side
    84,912.75x = 32,378,538,555.14
  5. Step 5: Solve for x
    x = 32,378,538,555.14/84,912.75
  6. Step 6: Final answer
    x = 381,315.39

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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.