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Finding the Third Proportional to 43,098.75 and 69,204.38

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Solution

The third proportional to 43,098.75 and 69,204.38 is: 111,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,098.75 : 69,204.38 = 69,204.38 : x
  2. Step 2: Convert to fraction form
    43,098.75/69,204.38 = 69,204.38/x
  3. Step 3: Cross multiply
    43,098.75x = 69,204.38 × 69,204.38
  4. Step 4: Simplify right side
    43,098.75x = 4,789,245,519.14
  5. Step 5: Solve for x
    x = 4,789,245,519.14/43,098.75
  6. Step 6: Final answer
    x = 111,122.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.