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Finding the Third Proportional to 63.23 and 96.16

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Solution

The third proportional to 63.23 and 96.16 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.23 : 96.16 = 96.16 : x
  2. Step 2: Convert to fraction form
    63.23/96.16 = 96.16/x
  3. Step 3: Cross multiply
    63.23x = 96.16 × 96.16
  4. Step 4: Simplify right side
    63.23x = 9,247.53
  5. Step 5: Solve for x
    x = 9,247.53/63.23
  6. Step 6: Final answer
    x = 146.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.