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Finding the Third Proportional to 120,867 and 183,966

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Solution

The third proportional to 120,867 and 183,966 is: 280,006.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,867 : 183,966 = 183,966 : x
  2. Step 2: Convert to fraction form
    120,867/183,966 = 183,966/x
  3. Step 3: Cross multiply
    120,867x = 183,966 × 183,966
  4. Step 4: Simplify right side
    120,867x = 33,843,489,156
  5. Step 5: Solve for x
    x = 33,843,489,156/120,867
  6. Step 6: Final answer
    x = 280,006.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.