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Finding the Third Proportional to 133,022 and 194,571

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Solution

The third proportional to 133,022 and 194,571 is: 284,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,022 : 194,571 = 194,571 : x
  2. Step 2: Convert to fraction form
    133,022/194,571 = 194,571/x
  3. Step 3: Cross multiply
    133,022x = 194,571 × 194,571
  4. Step 4: Simplify right side
    133,022x = 37,857,874,041
  5. Step 5: Solve for x
    x = 37,857,874,041/133,022
  6. Step 6: Final answer
    x = 284,598.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.