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Finding the Third Proportional to 95.25 and 143.31

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Solution

The third proportional to 95.25 and 143.31 is: 215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.25 : 143.31 = 143.31 : x
  2. Step 2: Convert to fraction form
    95.25/143.31 = 143.31/x
  3. Step 3: Cross multiply
    95.25x = 143.31 × 143.31
  4. Step 4: Simplify right side
    95.25x = 20,538.47
  5. Step 5: Solve for x
    x = 20,538.47/95.25
  6. Step 6: Final answer
    x = 215.63

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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.