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Finding the Third Proportional to 49,525 and 104,517

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Solution

The third proportional to 49,525 and 104,517 is: 220,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,525 : 104,517 = 104,517 : x
  2. Step 2: Convert to fraction form
    49,525/104,517 = 104,517/x
  3. Step 3: Cross multiply
    49,525x = 104,517 × 104,517
  4. Step 4: Simplify right side
    49,525x = 10,923,803,289
  5. Step 5: Solve for x
    x = 10,923,803,289/49,525
  6. Step 6: Final answer
    x = 220,571.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.