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Finding the Third Proportional to 92.87 and 168.17

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Solution

The third proportional to 92.87 and 168.17 is: 304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.87 : 168.17 = 168.17 : x
  2. Step 2: Convert to fraction form
    92.87/168.17 = 168.17/x
  3. Step 3: Cross multiply
    92.87x = 168.17 × 168.17
  4. Step 4: Simplify right side
    92.87x = 28,281.12
  5. Step 5: Solve for x
    x = 28,281.12/92.87
  6. Step 6: Final answer
    x = 304.54

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.