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Finding the Third Proportional to 50.73 and 112.99

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Solution

The third proportional to 50.73 and 112.99 is: 251.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.73 : 112.99 = 112.99 : x
  2. Step 2: Convert to fraction form
    50.73/112.99 = 112.99/x
  3. Step 3: Cross multiply
    50.73x = 112.99 × 112.99
  4. Step 4: Simplify right side
    50.73x = 12,767.23
  5. Step 5: Solve for x
    x = 12,767.23/50.73
  6. Step 6: Final answer
    x = 251.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.