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Finding the Third Proportional to 48,205 and 103,811

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Solution

The third proportional to 48,205 and 103,811 is: 223,560.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,205 : 103,811 = 103,811 : x
  2. Step 2: Convert to fraction form
    48,205/103,811 = 103,811/x
  3. Step 3: Cross multiply
    48,205x = 103,811 × 103,811
  4. Step 4: Simplify right side
    48,205x = 10,776,723,721
  5. Step 5: Solve for x
    x = 10,776,723,721/48,205
  6. Step 6: Final answer
    x = 223,560.29

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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.