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Finding the Third Proportional to 57,385.69 and 80,668.69

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Solution

The third proportional to 57,385.69 and 80,668.69 is: 113,398.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,385.69 : 80,668.69 = 80,668.69 : x
  2. Step 2: Convert to fraction form
    57,385.69/80,668.69 = 80,668.69/x
  3. Step 3: Cross multiply
    57,385.69x = 80,668.69 × 80,668.69
  4. Step 4: Simplify right side
    57,385.69x = 6,507,437,142.97
  5. Step 5: Solve for x
    x = 6,507,437,142.97/57,385.69
  6. Step 6: Final answer
    x = 113,398.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.