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Finding the Third Proportional to 42.97 and 91.94

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Solution

The third proportional to 42.97 and 91.94 is: 196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.97 : 91.94 = 91.94 : x
  2. Step 2: Convert to fraction form
    42.97/91.94 = 91.94/x
  3. Step 3: Cross multiply
    42.97x = 91.94 × 91.94
  4. Step 4: Simplify right side
    42.97x = 8,452.50
  5. Step 5: Solve for x
    x = 8,452.50/42.97
  6. Step 6: Final answer
    x = 196.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.