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Finding the Third Proportional to 47,446 and 102,684

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Solution

The third proportional to 47,446 and 102,684 is: 222,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,446 : 102,684 = 102,684 : x
  2. Step 2: Convert to fraction form
    47,446/102,684 = 102,684/x
  3. Step 3: Cross multiply
    47,446x = 102,684 × 102,684
  4. Step 4: Simplify right side
    47,446x = 10,544,003,856
  5. Step 5: Solve for x
    x = 10,544,003,856/47,446
  6. Step 6: Final answer
    x = 222,231.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.