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Finding the Third Proportional to 60 and 85.31

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Solution

The third proportional to 60 and 85.31 is: 121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 85.31 = 85.31 : x
  2. Step 2: Convert to fraction form
    60/85.31 = 85.31/x
  3. Step 3: Cross multiply
    60x = 85.31 × 85.31
  4. Step 4: Simplify right side
    60x = 7,278.22
  5. Step 5: Solve for x
    x = 7,278.22/60
  6. Step 6: Final answer
    x = 121.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.