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Finding the Third Proportional to 94.50 and 144.49

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Solution

The third proportional to 94.50 and 144.49 is: 220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.50 : 144.49 = 144.49 : x
  2. Step 2: Convert to fraction form
    94.50/144.49 = 144.49/x
  3. Step 3: Cross multiply
    94.50x = 144.49 × 144.49
  4. Step 4: Simplify right side
    94.50x = 20,877.99
  5. Step 5: Solve for x
    x = 20,877.99/94.50
  6. Step 6: Final answer
    x = 220.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.