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Finding the Third Proportional to 57.94 and 86.69

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Solution

The third proportional to 57.94 and 86.69 is: 129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 86.69 = 86.69 : x
  2. Step 2: Convert to fraction form
    57.94/86.69 = 86.69/x
  3. Step 3: Cross multiply
    57.94x = 86.69 × 86.69
  4. Step 4: Simplify right side
    57.94x = 7,514.72
  5. Step 5: Solve for x
    x = 7,514.72/57.94
  6. Step 6: Final answer
    x = 129.70

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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.