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Finding the Third Proportional to 95,895 and 210,825

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Solution

The third proportional to 95,895 and 210,825 is: 463,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,895 : 210,825 = 210,825 : x
  2. Step 2: Convert to fraction form
    95,895/210,825 = 210,825/x
  3. Step 3: Cross multiply
    95,895x = 210,825 × 210,825
  4. Step 4: Simplify right side
    95,895x = 44,447,180,625
  5. Step 5: Solve for x
    x = 44,447,180,625/95,895
  6. Step 6: Final answer
    x = 463,498.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.