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Finding the Third Proportional to 80,022 and 133,377

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Solution

The third proportional to 80,022 and 133,377 is: 222,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,022 : 133,377 = 133,377 : x
  2. Step 2: Convert to fraction form
    80,022/133,377 = 133,377/x
  3. Step 3: Cross multiply
    80,022x = 133,377 × 133,377
  4. Step 4: Simplify right side
    80,022x = 17,789,424,129
  5. Step 5: Solve for x
    x = 17,789,424,129/80,022
  6. Step 6: Final answer
    x = 222,306.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.