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Finding the Third Proportional to 76.97 and 166.03

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Solution

The third proportional to 76.97 and 166.03 is: 358.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.97 : 166.03 = 166.03 : x
  2. Step 2: Convert to fraction form
    76.97/166.03 = 166.03/x
  3. Step 3: Cross multiply
    76.97x = 166.03 × 166.03
  4. Step 4: Simplify right side
    76.97x = 27,566.38
  5. Step 5: Solve for x
    x = 27,566.38/76.97
  6. Step 6: Final answer
    x = 358.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.