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Finding the Third Proportional to 75.59 and 163.83

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Solution

The third proportional to 75.59 and 163.83 is: 355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 163.83 = 163.83 : x
  2. Step 2: Convert to fraction form
    75.59/163.83 = 163.83/x
  3. Step 3: Cross multiply
    75.59x = 163.83 × 163.83
  4. Step 4: Simplify right side
    75.59x = 26,839.65
  5. Step 5: Solve for x
    x = 26,839.65/75.59
  6. Step 6: Final answer
    x = 355.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.