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Finding the Third Proportional to 103,874 and 223,638

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Solution

The third proportional to 103,874 and 223,638 is: 481,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,874 : 223,638 = 223,638 : x
  2. Step 2: Convert to fraction form
    103,874/223,638 = 223,638/x
  3. Step 3: Cross multiply
    103,874x = 223,638 × 223,638
  4. Step 4: Simplify right side
    103,874x = 50,013,955,044
  5. Step 5: Solve for x
    x = 50,013,955,044/103,874
  6. Step 6: Final answer
    x = 481,486.75

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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.