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Finding the Third Proportional to 48,677 and 103,626

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Solution

The third proportional to 48,677 and 103,626 is: 220,604.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677 : 103,626 = 103,626 : x
  2. Step 2: Convert to fraction form
    48,677/103,626 = 103,626/x
  3. Step 3: Cross multiply
    48,677x = 103,626 × 103,626
  4. Step 4: Simplify right side
    48,677x = 10,738,347,876
  5. Step 5: Solve for x
    x = 10,738,347,876/48,677
  6. Step 6: Final answer
    x = 220,604.14

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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.