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Finding the Third Proportional to 50,205 and 104,571

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Solution

The third proportional to 50,205 and 104,571 is: 217,808.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,205 : 104,571 = 104,571 : x
  2. Step 2: Convert to fraction form
    50,205/104,571 = 104,571/x
  3. Step 3: Cross multiply
    50,205x = 104,571 × 104,571
  4. Step 4: Simplify right side
    50,205x = 10,935,094,041
  5. Step 5: Solve for x
    x = 10,935,094,041/50,205
  6. Step 6: Final answer
    x = 217,808.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.