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Finding the Third Proportional to 50.75 and 84.19

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Solution

The third proportional to 50.75 and 84.19 is: 139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.75 : 84.19 = 84.19 : x
  2. Step 2: Convert to fraction form
    50.75/84.19 = 84.19/x
  3. Step 3: Cross multiply
    50.75x = 84.19 × 84.19
  4. Step 4: Simplify right side
    50.75x = 7,088.03
  5. Step 5: Solve for x
    x = 7,088.03/50.75
  6. Step 6: Final answer
    x = 139.67

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.