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Finding the Third Proportional to 47,189 and 104,868

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Solution

The third proportional to 47,189 and 104,868 is: 233,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,189 : 104,868 = 104,868 : x
  2. Step 2: Convert to fraction form
    47,189/104,868 = 104,868/x
  3. Step 3: Cross multiply
    47,189x = 104,868 × 104,868
  4. Step 4: Simplify right side
    47,189x = 10,997,297,424
  5. Step 5: Solve for x
    x = 10,997,297,424/47,189
  6. Step 6: Final answer
    x = 233,047.90

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.