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Finding the Third Proportional to 57,565.69 and 123,879.38

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Solution

The third proportional to 57,565.69 and 123,879.38 is: 266,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,565.69 : 123,879.38 = 123,879.38 : x
  2. Step 2: Convert to fraction form
    57,565.69/123,879.38 = 123,879.38/x
  3. Step 3: Cross multiply
    57,565.69x = 123,879.38 × 123,879.38
  4. Step 4: Simplify right side
    57,565.69x = 15,346,099,550.39
  5. Step 5: Solve for x
    x = 15,346,099,550.39/57,565.69
  6. Step 6: Final answer
    x = 266,584.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.