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Finding the Third Proportional to 96.19 and 159.05

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Solution

The third proportional to 96.19 and 159.05 is: 262.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.19 : 159.05 = 159.05 : x
  2. Step 2: Convert to fraction form
    96.19/159.05 = 159.05/x
  3. Step 3: Cross multiply
    96.19x = 159.05 × 159.05
  4. Step 4: Simplify right side
    96.19x = 25,295.91
  5. Step 5: Solve for x
    x = 25,295.91/96.19
  6. Step 6: Final answer
    x = 262.99

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.