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Finding the Third Proportional to 48,677 and 104,626

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Solution

The third proportional to 48,677 and 104,626 is: 224,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,677 : 104,626 = 104,626 : x
  2. Step 2: Convert to fraction form
    48,677/104,626 = 104,626/x
  3. Step 3: Cross multiply
    48,677x = 104,626 × 104,626
  4. Step 4: Simplify right side
    48,677x = 10,946,599,876
  5. Step 5: Solve for x
    x = 10,946,599,876/48,677
  6. Step 6: Final answer
    x = 224,882.39

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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.