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Finding the Third Proportional to 86.48 and 131.20

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Solution

The third proportional to 86.48 and 131.20 is: 199.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 131.20 = 131.20 : x
  2. Step 2: Convert to fraction form
    86.48/131.20 = 131.20/x
  3. Step 3: Cross multiply
    86.48x = 131.20 × 131.20
  4. Step 4: Simplify right side
    86.48x = 17,214.26
  5. Step 5: Solve for x
    x = 17,214.26/86.48
  6. Step 6: Final answer
    x = 199.04

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.