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Finding the Third Proportional to 96.20 and 125.60

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Solution

The third proportional to 96.20 and 125.60 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.20 : 125.60 = 125.60 : x
  2. Step 2: Convert to fraction form
    96.20/125.60 = 125.60/x
  3. Step 3: Cross multiply
    96.20x = 125.60 × 125.60
  4. Step 4: Simplify right side
    96.20x = 15,774.18
  5. Step 5: Solve for x
    x = 15,774.18/96.20
  6. Step 6: Final answer
    x = 163.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.