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Finding the Third Proportional to 43.75 and 86.31

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Solution

The third proportional to 43.75 and 86.31 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.75 : 86.31 = 86.31 : x
  2. Step 2: Convert to fraction form
    43.75/86.31 = 86.31/x
  3. Step 3: Cross multiply
    43.75x = 86.31 × 86.31
  4. Step 4: Simplify right side
    43.75x = 7,449.85
  5. Step 5: Solve for x
    x = 7,449.85/43.75
  6. Step 6: Final answer
    x = 170.28

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.