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Finding the Third Proportional to 85,961 and 186,867

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Solution

The third proportional to 85,961 and 186,867 is: 406,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,961 : 186,867 = 186,867 : x
  2. Step 2: Convert to fraction form
    85,961/186,867 = 186,867/x
  3. Step 3: Cross multiply
    85,961x = 186,867 × 186,867
  4. Step 4: Simplify right side
    85,961x = 34,919,275,689
  5. Step 5: Solve for x
    x = 34,919,275,689/85,961
  6. Step 6: Final answer
    x = 406,222.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.