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Finding the Third Proportional to 77.91 and 168.05

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Solution

The third proportional to 77.91 and 168.05 is: 362.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.91 : 168.05 = 168.05 : x
  2. Step 2: Convert to fraction form
    77.91/168.05 = 168.05/x
  3. Step 3: Cross multiply
    77.91x = 168.05 × 168.05
  4. Step 4: Simplify right side
    77.91x = 28,239.75
  5. Step 5: Solve for x
    x = 28,239.75/77.91
  6. Step 6: Final answer
    x = 362.48

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Why These Related Problems?

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