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Finding the Third Proportional to 50.72 and 84.05

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Solution

The third proportional to 50.72 and 84.05 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.72 : 84.05 = 84.05 : x
  2. Step 2: Convert to fraction form
    50.72/84.05 = 84.05/x
  3. Step 3: Cross multiply
    50.72x = 84.05 × 84.05
  4. Step 4: Simplify right side
    50.72x = 7,063.88
  5. Step 5: Solve for x
    x = 7,063.88/50.72
  6. Step 6: Final answer
    x = 139.28

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