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Finding the Third Proportional to 135,771 and 207,171

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Solution

The third proportional to 135,771 and 207,171 is: 316,119.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,771 : 207,171 = 207,171 : x
  2. Step 2: Convert to fraction form
    135,771/207,171 = 207,171/x
  3. Step 3: Cross multiply
    135,771x = 207,171 × 207,171
  4. Step 4: Simplify right side
    135,771x = 42,919,823,241
  5. Step 5: Solve for x
    x = 42,919,823,241/135,771
  6. Step 6: Final answer
    x = 316,119.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.