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Finding the Third Proportional to 47,013 and 102,450

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Solution

The third proportional to 47,013 and 102,450 is: 223,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,013 : 102,450 = 102,450 : x
  2. Step 2: Convert to fraction form
    47,013/102,450 = 102,450/x
  3. Step 3: Cross multiply
    47,013x = 102,450 × 102,450
  4. Step 4: Simplify right side
    47,013x = 10,496,002,500
  5. Step 5: Solve for x
    x = 10,496,002,500/47,013
  6. Step 6: Final answer
    x = 223,257.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.