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Finding the Third Proportional to 47,024 and 100,456

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Solution

The third proportional to 47,024 and 100,456 is: 214,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,024 : 100,456 = 100,456 : x
  2. Step 2: Convert to fraction form
    47,024/100,456 = 100,456/x
  3. Step 3: Cross multiply
    47,024x = 100,456 × 100,456
  4. Step 4: Simplify right side
    47,024x = 10,091,407,936
  5. Step 5: Solve for x
    x = 10,091,407,936/47,024
  6. Step 6: Final answer
    x = 214,601.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.