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Finding the Third Proportional to 140,052 and 209,589

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Solution

The third proportional to 140,052 and 209,589 is: 313,651.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,052 : 209,589 = 209,589 : x
  2. Step 2: Convert to fraction form
    140,052/209,589 = 209,589/x
  3. Step 3: Cross multiply
    140,052x = 209,589 × 209,589
  4. Step 4: Simplify right side
    140,052x = 43,927,548,921
  5. Step 5: Solve for x
    x = 43,927,548,921/140,052
  6. Step 6: Final answer
    x = 313,651.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.