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Finding the Third Proportional to 89.23 and 133.84

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Solution

The third proportional to 89.23 and 133.84 is: 200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.23 : 133.84 = 133.84 : x
  2. Step 2: Convert to fraction form
    89.23/133.84 = 133.84/x
  3. Step 3: Cross multiply
    89.23x = 133.84 × 133.84
  4. Step 4: Simplify right side
    89.23x = 17,913.10
  5. Step 5: Solve for x
    x = 17,913.10/89.23
  6. Step 6: Final answer
    x = 200.76

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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.