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Finding the Third Proportional to 39,296 and 80,896

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Solution

The third proportional to 39,296 and 80,896 is: 166,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 80,896 = 80,896 : x
  2. Step 2: Convert to fraction form
    39,296/80,896 = 80,896/x
  3. Step 3: Cross multiply
    39,296x = 80,896 × 80,896
  4. Step 4: Simplify right side
    39,296x = 6,544,162,816
  5. Step 5: Solve for x
    x = 6,544,162,816/39,296
  6. Step 6: Final answer
    x = 166,535.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.