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Finding the Third Proportional to 68.25 and 96.56

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Solution

The third proportional to 68.25 and 96.56 is: 136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 96.56 = 96.56 : x
  2. Step 2: Convert to fraction form
    68.25/96.56 = 96.56/x
  3. Step 3: Cross multiply
    68.25x = 96.56 × 96.56
  4. Step 4: Simplify right side
    68.25x = 9,324.32
  5. Step 5: Solve for x
    x = 9,324.32/68.25
  6. Step 6: Final answer
    x = 136.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.