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Finding the Third Proportional to 85.22 and 119.60

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Solution

The third proportional to 85.22 and 119.60 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.22 : 119.60 = 119.60 : x
  2. Step 2: Convert to fraction form
    85.22/119.60 = 119.60/x
  3. Step 3: Cross multiply
    85.22x = 119.60 × 119.60
  4. Step 4: Simplify right side
    85.22x = 14,304.53
  5. Step 5: Solve for x
    x = 14,304.53/85.22
  6. Step 6: Final answer
    x = 167.86

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.