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Finding the Third Proportional to 96.94 and 145.31

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Solution

The third proportional to 96.94 and 145.31 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.94 : 145.31 = 145.31 : x
  2. Step 2: Convert to fraction form
    96.94/145.31 = 145.31/x
  3. Step 3: Cross multiply
    96.94x = 145.31 × 145.31
  4. Step 4: Simplify right side
    96.94x = 21,115.72
  5. Step 5: Solve for x
    x = 21,115.72/96.94
  6. Step 6: Final answer
    x = 217.83

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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.