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Finding the Third Proportional to 47,211 and 95,790

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Solution

The third proportional to 47,211 and 95,790 is: 194,355.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,211 : 95,790 = 95,790 : x
  2. Step 2: Convert to fraction form
    47,211/95,790 = 95,790/x
  3. Step 3: Cross multiply
    47,211x = 95,790 × 95,790
  4. Step 4: Simplify right side
    47,211x = 9,175,724,100
  5. Step 5: Solve for x
    x = 9,175,724,100/47,211
  6. Step 6: Final answer
    x = 194,355.64

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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.