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Finding the Third Proportional to 85.15 and 133.80

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Solution

The third proportional to 85.15 and 133.80 is: 210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.15 : 133.80 = 133.80 : x
  2. Step 2: Convert to fraction form
    85.15/133.80 = 133.80/x
  3. Step 3: Cross multiply
    85.15x = 133.80 × 133.80
  4. Step 4: Simplify right side
    85.15x = 17,902.68
  5. Step 5: Solve for x
    x = 17,902.68/85.15
  6. Step 6: Final answer
    x = 210.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.