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Finding the Third Proportional to 75.73 and 113.59

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Solution

The third proportional to 75.73 and 113.59 is: 170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.73 : 113.59 = 113.59 : x
  2. Step 2: Convert to fraction form
    75.73/113.59 = 113.59/x
  3. Step 3: Cross multiply
    75.73x = 113.59 × 113.59
  4. Step 4: Simplify right side
    75.73x = 12,902.65
  5. Step 5: Solve for x
    x = 12,902.65/75.73
  6. Step 6: Final answer
    x = 170.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.