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Finding the Third Proportional to 47,491 and 101,337

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Solution

The third proportional to 47,491 and 101,337 is: 216,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,491 : 101,337 = 101,337 : x
  2. Step 2: Convert to fraction form
    47,491/101,337 = 101,337/x
  3. Step 3: Cross multiply
    47,491x = 101,337 × 101,337
  4. Step 4: Simplify right side
    47,491x = 10,269,187,569
  5. Step 5: Solve for x
    x = 10,269,187,569/47,491
  6. Step 6: Final answer
    x = 216,234.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.