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Finding the Third Proportional to 56.11 and 82.16

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Solution

The third proportional to 56.11 and 82.16 is: 120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.11 : 82.16 = 82.16 : x
  2. Step 2: Convert to fraction form
    56.11/82.16 = 82.16/x
  3. Step 3: Cross multiply
    56.11x = 82.16 × 82.16
  4. Step 4: Simplify right side
    56.11x = 6,750.29
  5. Step 5: Solve for x
    x = 6,750.29/56.11
  6. Step 6: Final answer
    x = 120.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.