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Finding the Third Proportional to 133,054 and 194,397

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Solution

The third proportional to 133,054 and 194,397 is: 284,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,054 : 194,397 = 194,397 : x
  2. Step 2: Convert to fraction form
    133,054/194,397 = 194,397/x
  3. Step 3: Cross multiply
    133,054x = 194,397 × 194,397
  4. Step 4: Simplify right side
    133,054x = 37,790,193,609
  5. Step 5: Solve for x
    x = 37,790,193,609/133,054
  6. Step 6: Final answer
    x = 284,021.48

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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.