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Finding the Third Proportional to 48,219 and 103,837

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Solution

The third proportional to 48,219 and 103,837 is: 223,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,219 : 103,837 = 103,837 : x
  2. Step 2: Convert to fraction form
    48,219/103,837 = 103,837/x
  3. Step 3: Cross multiply
    48,219x = 103,837 × 103,837
  4. Step 4: Simplify right side
    48,219x = 10,782,122,569
  5. Step 5: Solve for x
    x = 10,782,122,569/48,219
  6. Step 6: Final answer
    x = 223,607.35

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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.