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Finding the Third Proportional to 94.13 and 108.75

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Solution

The third proportional to 94.13 and 108.75 is: 125.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.13 : 108.75 = 108.75 : x
  2. Step 2: Convert to fraction form
    94.13/108.75 = 108.75/x
  3. Step 3: Cross multiply
    94.13x = 108.75 × 108.75
  4. Step 4: Simplify right side
    94.13x = 11,826.56
  5. Step 5: Solve for x
    x = 11,826.56/94.13
  6. Step 6: Final answer
    x = 125.65

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.