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Finding the Third Proportional to 135,066 and 250,857

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Solution

The third proportional to 135,066 and 250,857 is: 465,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,066 : 250,857 = 250,857 : x
  2. Step 2: Convert to fraction form
    135,066/250,857 = 250,857/x
  3. Step 3: Cross multiply
    135,066x = 250,857 × 250,857
  4. Step 4: Simplify right side
    135,066x = 62,929,234,449
  5. Step 5: Solve for x
    x = 62,929,234,449/135,066
  6. Step 6: Final answer
    x = 465,914.70

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.