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Finding the Third Proportional to 90.53 and 163.62

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Solution

The third proportional to 90.53 and 163.62 is: 295.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.53 : 163.62 = 163.62 : x
  2. Step 2: Convert to fraction form
    90.53/163.62 = 163.62/x
  3. Step 3: Cross multiply
    90.53x = 163.62 × 163.62
  4. Step 4: Simplify right side
    90.53x = 26,772.02
  5. Step 5: Solve for x
    x = 26,772.02/90.53
  6. Step 6: Final answer
    x = 295.72

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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.