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Finding the Third Proportional to 77.91 and 170.72

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Solution

The third proportional to 77.91 and 170.72 is: 374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 170.72 = 170.72 : x
  2. Step 2: Convert to fraction form
    77.91/170.72 = 170.72/x
  3. Step 3: Cross multiply
    77.91x = 170.72 × 170.72
  4. Step 4: Simplify right side
    77.91x = 29,144.89
  5. Step 5: Solve for x
    x = 29,144.89/77.91
  6. Step 6: Final answer
    x = 374.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.