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Finding the Third Proportional to 50,571 and 110,484

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Solution

The third proportional to 50,571 and 110,484 is: 241,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571 : 110,484 = 110,484 : x
  2. Step 2: Convert to fraction form
    50,571/110,484 = 110,484/x
  3. Step 3: Cross multiply
    50,571x = 110,484 × 110,484
  4. Step 4: Simplify right side
    50,571x = 12,206,714,256
  5. Step 5: Solve for x
    x = 12,206,714,256/50,571
  6. Step 6: Final answer
    x = 241,377.75

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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.