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Finding the Third Proportional to 96.19 and 154.69

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Solution

The third proportional to 96.19 and 154.69 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 154.69 = 154.69 : x
  2. Step 2: Convert to fraction form
    96.19/154.69 = 154.69/x
  3. Step 3: Cross multiply
    96.19x = 154.69 × 154.69
  4. Step 4: Simplify right side
    96.19x = 23,928.22
  5. Step 5: Solve for x
    x = 23,928.22/96.19
  6. Step 6: Final answer
    x = 248.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.