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Finding the Third Proportional to 49.46 and 119.85

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Solution

The third proportional to 49.46 and 119.85 is: 290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.46 : 119.85 = 119.85 : x
  2. Step 2: Convert to fraction form
    49.46/119.85 = 119.85/x
  3. Step 3: Cross multiply
    49.46x = 119.85 × 119.85
  4. Step 4: Simplify right side
    49.46x = 14,364.40
  5. Step 5: Solve for x
    x = 14,364.40/49.46
  6. Step 6: Final answer
    x = 290.41

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.