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Finding the Third Proportional to 75.94 and 155.53

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Solution

The third proportional to 75.94 and 155.53 is: 318.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.94 : 155.53 = 155.53 : x
  2. Step 2: Convert to fraction form
    75.94/155.53 = 155.53/x
  3. Step 3: Cross multiply
    75.94x = 155.53 × 155.53
  4. Step 4: Simplify right side
    75.94x = 24,189.97
  5. Step 5: Solve for x
    x = 24,189.97/75.94
  6. Step 6: Final answer
    x = 318.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.