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Finding the Third Proportional to 85,864 and 187,992

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Solution

The third proportional to 85,864 and 187,992 is: 411,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,864 : 187,992 = 187,992 : x
  2. Step 2: Convert to fraction form
    85,864/187,992 = 187,992/x
  3. Step 3: Cross multiply
    85,864x = 187,992 × 187,992
  4. Step 4: Simplify right side
    85,864x = 35,340,992,064
  5. Step 5: Solve for x
    x = 35,340,992,064/85,864
  6. Step 6: Final answer
    x = 411,592.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.