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Finding the Third Proportional to 133,096 and 194,680

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Solution

The third proportional to 133,096 and 194,680 is: 284,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 194,680 = 194,680 : x
  2. Step 2: Convert to fraction form
    133,096/194,680 = 194,680/x
  3. Step 3: Cross multiply
    133,096x = 194,680 × 194,680
  4. Step 4: Simplify right side
    133,096x = 37,900,302,400
  5. Step 5: Solve for x
    x = 37,900,302,400/133,096
  6. Step 6: Final answer
    x = 284,759.14

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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.