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Finding the Third Proportional to 120,869 and 199,619

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Solution

The third proportional to 120,869 and 199,619 is: 329,677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,869 : 199,619 = 199,619 : x
  2. Step 2: Convert to fraction form
    120,869/199,619 = 199,619/x
  3. Step 3: Cross multiply
    120,869x = 199,619 × 199,619
  4. Step 4: Simplify right side
    120,869x = 39,847,745,161
  5. Step 5: Solve for x
    x = 39,847,745,161/120,869
  6. Step 6: Final answer
    x = 329,677.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.