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Finding the Third Proportional to 133,086 and 194,472

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Solution

The third proportional to 133,086 and 194,472 is: 284,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,086 : 194,472 = 194,472 : x
  2. Step 2: Convert to fraction form
    133,086/194,472 = 194,472/x
  3. Step 3: Cross multiply
    133,086x = 194,472 × 194,472
  4. Step 4: Simplify right side
    133,086x = 37,819,358,784
  5. Step 5: Solve for x
    x = 37,819,358,784/133,086
  6. Step 6: Final answer
    x = 284,172.33

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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.