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Finding the Third Proportional to 96 and 189.50

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Solution

The third proportional to 96 and 189.50 is: 374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96 : 189.50 = 189.50 : x
  2. Step 2: Convert to fraction form
    96/189.50 = 189.50/x
  3. Step 3: Cross multiply
    96x = 189.50 × 189.50
  4. Step 4: Simplify right side
    96x = 35,910.25
  5. Step 5: Solve for x
    x = 35,910.25/96
  6. Step 6: Final answer
    x = 374.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.