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Finding the Third Proportional to 96.00 and 144.83

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Solution

The third proportional to 96.00 and 144.83 is: 218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.00 : 144.83 = 144.83 : x
  2. Step 2: Convert to fraction form
    96.00/144.83 = 144.83/x
  3. Step 3: Cross multiply
    96.00x = 144.83 × 144.83
  4. Step 4: Simplify right side
    96.00x = 20,977.17
  5. Step 5: Solve for x
    x = 20,977.17/96.00
  6. Step 6: Final answer
    x = 218.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.