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Finding the Third Proportional to 95,892 and 212,744

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Solution

The third proportional to 95,892 and 212,744 is: 471,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,892 : 212,744 = 212,744 : x
  2. Step 2: Convert to fraction form
    95,892/212,744 = 212,744/x
  3. Step 3: Cross multiply
    95,892x = 212,744 × 212,744
  4. Step 4: Simplify right side
    95,892x = 45,260,009,536
  5. Step 5: Solve for x
    x = 45,260,009,536/95,892
  6. Step 6: Final answer
    x = 471,989.42

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.