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Finding the Third Proportional to 63.25 and 95.19

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Solution

The third proportional to 63.25 and 95.19 is: 143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.25 : 95.19 = 95.19 : x
  2. Step 2: Convert to fraction form
    63.25/95.19 = 95.19/x
  3. Step 3: Cross multiply
    63.25x = 95.19 × 95.19
  4. Step 4: Simplify right side
    63.25x = 9,060.66
  5. Step 5: Solve for x
    x = 9,060.66/63.25
  6. Step 6: Final answer
    x = 143.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.