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Finding the Third Proportional to 49,241 and 107,393

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Solution

The third proportional to 49,241 and 107,393 is: 234,220.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,241 : 107,393 = 107,393 : x
  2. Step 2: Convert to fraction form
    49,241/107,393 = 107,393/x
  3. Step 3: Cross multiply
    49,241x = 107,393 × 107,393
  4. Step 4: Simplify right side
    49,241x = 11,533,256,449
  5. Step 5: Solve for x
    x = 11,533,256,449/49,241
  6. Step 6: Final answer
    x = 234,220.60

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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.