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Finding the Third Proportional to 47,190 and 111,241

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Solution

The third proportional to 47,190 and 111,241 is: 262,228.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,190 : 111,241 = 111,241 : x
  2. Step 2: Convert to fraction form
    47,190/111,241 = 111,241/x
  3. Step 3: Cross multiply
    47,190x = 111,241 × 111,241
  4. Step 4: Simplify right side
    47,190x = 12,374,560,081
  5. Step 5: Solve for x
    x = 12,374,560,081/47,190
  6. Step 6: Final answer
    x = 262,228.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.