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Finding the Third Proportional to 48,703 and 103,682

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Solution

The third proportional to 48,703 and 103,682 is: 220,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703 : 103,682 = 103,682 : x
  2. Step 2: Convert to fraction form
    48,703/103,682 = 103,682/x
  3. Step 3: Cross multiply
    48,703x = 103,682 × 103,682
  4. Step 4: Simplify right side
    48,703x = 10,749,957,124
  5. Step 5: Solve for x
    x = 10,749,957,124/48,703
  6. Step 6: Final answer
    x = 220,724.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.