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Finding the Third Proportional to 47,105 and 103,687

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Solution

The third proportional to 47,105 and 103,687 is: 228,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,105 : 103,687 = 103,687 : x
  2. Step 2: Convert to fraction form
    47,105/103,687 = 103,687/x
  3. Step 3: Cross multiply
    47,105x = 103,687 × 103,687
  4. Step 4: Simplify right side
    47,105x = 10,750,993,969
  5. Step 5: Solve for x
    x = 10,750,993,969/47,105
  6. Step 6: Final answer
    x = 228,234.67

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