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Finding the Third Proportional to 133,394 and 195,093

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Solution

The third proportional to 133,394 and 195,093 is: 285,329.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,394 : 195,093 = 195,093 : x
  2. Step 2: Convert to fraction form
    133,394/195,093 = 195,093/x
  3. Step 3: Cross multiply
    133,394x = 195,093 × 195,093
  4. Step 4: Simplify right side
    133,394x = 38,061,278,649
  5. Step 5: Solve for x
    x = 38,061,278,649/133,394
  6. Step 6: Final answer
    x = 285,329.76

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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.