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Finding the Third Proportional to 50,940 and 110,638

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Solution

The third proportional to 50,940 and 110,638 is: 240,297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,940 : 110,638 = 110,638 : x
  2. Step 2: Convert to fraction form
    50,940/110,638 = 110,638/x
  3. Step 3: Cross multiply
    50,940x = 110,638 × 110,638
  4. Step 4: Simplify right side
    50,940x = 12,240,767,044
  5. Step 5: Solve for x
    x = 12,240,767,044/50,940
  6. Step 6: Final answer
    x = 240,297.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.