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Finding the Third Proportional to 47,195 and 103,715

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Solution

The third proportional to 47,195 and 103,715 is: 227,922.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,195 : 103,715 = 103,715 : x
  2. Step 2: Convert to fraction form
    47,195/103,715 = 103,715/x
  3. Step 3: Cross multiply
    47,195x = 103,715 × 103,715
  4. Step 4: Simplify right side
    47,195x = 10,756,801,225
  5. Step 5: Solve for x
    x = 10,756,801,225/47,195
  6. Step 6: Final answer
    x = 227,922.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.