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Finding the Third Proportional to 94.13 and 154.69

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Solution

The third proportional to 94.13 and 154.69 is: 254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.13 : 154.69 = 154.69 : x
  2. Step 2: Convert to fraction form
    94.13/154.69 = 154.69/x
  3. Step 3: Cross multiply
    94.13x = 154.69 × 154.69
  4. Step 4: Simplify right side
    94.13x = 23,928.22
  5. Step 5: Solve for x
    x = 23,928.22/94.13
  6. Step 6: Final answer
    x = 254.22

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.