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Finding the Third Proportional to 135,918 and 209,937

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Solution

The third proportional to 135,918 and 209,937 is: 324,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,918 : 209,937 = 209,937 : x
  2. Step 2: Convert to fraction form
    135,918/209,937 = 209,937/x
  3. Step 3: Cross multiply
    135,918x = 209,937 × 209,937
  4. Step 4: Simplify right side
    135,918x = 44,073,543,969
  5. Step 5: Solve for x
    x = 44,073,543,969/135,918
  6. Step 6: Final answer
    x = 324,265.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.