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Finding the Third Proportional to 62.96 and 97.14

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Solution

The third proportional to 62.96 and 97.14 is: 149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.96 : 97.14 = 97.14 : x
  2. Step 2: Convert to fraction form
    62.96/97.14 = 97.14/x
  3. Step 3: Cross multiply
    62.96x = 97.14 × 97.14
  4. Step 4: Simplify right side
    62.96x = 9,435.54
  5. Step 5: Solve for x
    x = 9,435.54/62.96
  6. Step 6: Final answer
    x = 149.85

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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.