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Finding the Third Proportional to 50.81 and 119.94

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Solution

The third proportional to 50.81 and 119.94 is: 283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.81 : 119.94 = 119.94 : x
  2. Step 2: Convert to fraction form
    50.81/119.94 = 119.94/x
  3. Step 3: Cross multiply
    50.81x = 119.94 × 119.94
  4. Step 4: Simplify right side
    50.81x = 14,385.00
  5. Step 5: Solve for x
    x = 14,385.00/50.81
  6. Step 6: Final answer
    x = 283.10

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.