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Finding the Third Proportional to 48,305 and 103,689

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Solution

The third proportional to 48,305 and 103,689 is: 222,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,305 : 103,689 = 103,689 : x
  2. Step 2: Convert to fraction form
    48,305/103,689 = 103,689/x
  3. Step 3: Cross multiply
    48,305x = 103,689 × 103,689
  4. Step 4: Simplify right side
    48,305x = 10,751,408,721
  5. Step 5: Solve for x
    x = 10,751,408,721/48,305
  6. Step 6: Final answer
    x = 222,573.41

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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.