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Finding the Third Proportional to 48,645.75 and 106,869

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Solution

The third proportional to 48,645.75 and 106,869 is: 234,778.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.75 : 106,869 = 106,869 : x
  2. Step 2: Convert to fraction form
    48,645.75/106,869 = 106,869/x
  3. Step 3: Cross multiply
    48,645.75x = 106,869 × 106,869
  4. Step 4: Simplify right side
    48,645.75x = 11,420,983,161
  5. Step 5: Solve for x
    x = 11,420,983,161/48,645.75
  6. Step 6: Final answer
    x = 234,778.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.