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Finding the Third Proportional to 82 and 158.75

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Solution

The third proportional to 82 and 158.75 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82 : 158.75 = 158.75 : x
  2. Step 2: Convert to fraction form
    82/158.75 = 158.75/x
  3. Step 3: Cross multiply
    82x = 158.75 × 158.75
  4. Step 4: Simplify right side
    82x = 25,201.56
  5. Step 5: Solve for x
    x = 25,201.56/82
  6. Step 6: Final answer
    x = 307.34

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These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.