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Finding the Third Proportional to 54,649.69 and 82,027.69

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Solution

The third proportional to 54,649.69 and 82,027.69 is: 123,121.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,649.69 : 82,027.69 = 82,027.69 : x
  2. Step 2: Convert to fraction form
    54,649.69/82,027.69 = 82,027.69/x
  3. Step 3: Cross multiply
    54,649.69x = 82,027.69 × 82,027.69
  4. Step 4: Simplify right side
    54,649.69x = 6,728,541,516.60
  5. Step 5: Solve for x
    x = 6,728,541,516.60/54,649.69
  6. Step 6: Final answer
    x = 123,121.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.