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Finding the Third Proportional to 47,441 and 102,674

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Solution

The third proportional to 47,441 and 102,674 is: 222,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441 : 102,674 = 102,674 : x
  2. Step 2: Convert to fraction form
    47,441/102,674 = 102,674/x
  3. Step 3: Cross multiply
    47,441x = 102,674 × 102,674
  4. Step 4: Simplify right side
    47,441x = 10,541,950,276
  5. Step 5: Solve for x
    x = 10,541,950,276/47,441
  6. Step 6: Final answer
    x = 222,211.81

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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.