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Finding the Third Proportional to 135.42 and 189.42

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Solution

The third proportional to 135.42 and 189.42 is: 264.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 189.42 = 189.42 : x
  2. Step 2: Convert to fraction form
    135.42/189.42 = 189.42/x
  3. Step 3: Cross multiply
    135.42x = 189.42 × 189.42
  4. Step 4: Simplify right side
    135.42x = 35,880.65
  5. Step 5: Solve for x
    x = 35,880.65/135.42
  6. Step 6: Final answer
    x = 264.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.