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Finding the Third Proportional to 72,194 and 106,869

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Solution

The third proportional to 72,194 and 106,869 is: 158,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,194 : 106,869 = 106,869 : x
  2. Step 2: Convert to fraction form
    72,194/106,869 = 106,869/x
  3. Step 3: Cross multiply
    72,194x = 106,869 × 106,869
  4. Step 4: Simplify right side
    72,194x = 11,420,983,161
  5. Step 5: Solve for x
    x = 11,420,983,161/72,194
  6. Step 6: Final answer
    x = 158,198.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.