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Finding the Third Proportional to 103,924 and 223,872

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Solution

The third proportional to 103,924 and 223,872 is: 482,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,924 : 223,872 = 223,872 : x
  2. Step 2: Convert to fraction form
    103,924/223,872 = 223,872/x
  3. Step 3: Cross multiply
    103,924x = 223,872 × 223,872
  4. Step 4: Simplify right side
    103,924x = 50,118,672,384
  5. Step 5: Solve for x
    x = 50,118,672,384/103,924
  6. Step 6: Final answer
    x = 482,262.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.