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Finding the Third Proportional to 47,223 and 103,761

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Solution

The third proportional to 47,223 and 103,761 is: 227,989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,223 : 103,761 = 103,761 : x
  2. Step 2: Convert to fraction form
    47,223/103,761 = 103,761/x
  3. Step 3: Cross multiply
    47,223x = 103,761 × 103,761
  4. Step 4: Simplify right side
    47,223x = 10,766,345,121
  5. Step 5: Solve for x
    x = 10,766,345,121/47,223
  6. Step 6: Final answer
    x = 227,989.44

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Why These Related Problems?

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