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Finding the Third Proportional to 95,078 and 192,790

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Solution

The third proportional to 95,078 and 192,790 is: 390,920.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,078 : 192,790 = 192,790 : x
  2. Step 2: Convert to fraction form
    95,078/192,790 = 192,790/x
  3. Step 3: Cross multiply
    95,078x = 192,790 × 192,790
  4. Step 4: Simplify right side
    95,078x = 37,167,984,100
  5. Step 5: Solve for x
    x = 37,167,984,100/95,078
  6. Step 6: Final answer
    x = 390,920.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.