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Finding the Third Proportional to 91.44 and 133.21

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Solution

The third proportional to 91.44 and 133.21 is: 194.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 133.21 = 133.21 : x
  2. Step 2: Convert to fraction form
    91.44/133.21 = 133.21/x
  3. Step 3: Cross multiply
    91.44x = 133.21 × 133.21
  4. Step 4: Simplify right side
    91.44x = 17,744.11
  5. Step 5: Solve for x
    x = 17,744.11/91.44
  6. Step 6: Final answer
    x = 194.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.