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Finding the Third Proportional to 63.12 and 97.29

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Solution

The third proportional to 63.12 and 97.29 is: 149.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.12 : 97.29 = 97.29 : x
  2. Step 2: Convert to fraction form
    63.12/97.29 = 97.29/x
  3. Step 3: Cross multiply
    63.12x = 97.29 × 97.29
  4. Step 4: Simplify right side
    63.12x = 9,466.30
  5. Step 5: Solve for x
    x = 9,466.30/63.12
  6. Step 6: Final answer
    x = 149.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.