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Finding the Third Proportional to 95,186 and 225,077

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Solution

The third proportional to 95,186 and 225,077 is: 532,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,186 : 225,077 = 225,077 : x
  2. Step 2: Convert to fraction form
    95,186/225,077 = 225,077/x
  3. Step 3: Cross multiply
    95,186x = 225,077 × 225,077
  4. Step 4: Simplify right side
    95,186x = 50,659,655,929
  5. Step 5: Solve for x
    x = 50,659,655,929/95,186
  6. Step 6: Final answer
    x = 532,217.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.