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Finding the Third Proportional to 94.41 and 133.64

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Solution

The third proportional to 94.41 and 133.64 is: 189.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.41 : 133.64 = 133.64 : x
  2. Step 2: Convert to fraction form
    94.41/133.64 = 133.64/x
  3. Step 3: Cross multiply
    94.41x = 133.64 × 133.64
  4. Step 4: Simplify right side
    94.41x = 17,859.82
  5. Step 5: Solve for x
    x = 17,859.82/94.41
  6. Step 6: Final answer
    x = 189.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.