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Finding the Third Proportional to 95,775 and 211,125

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Solution

The third proportional to 95,775 and 211,125 is: 465,400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,775 : 211,125 = 211,125 : x
  2. Step 2: Convert to fraction form
    95,775/211,125 = 211,125/x
  3. Step 3: Cross multiply
    95,775x = 211,125 × 211,125
  4. Step 4: Simplify right side
    95,775x = 44,573,765,625
  5. Step 5: Solve for x
    x = 44,573,765,625/95,775
  6. Step 6: Final answer
    x = 465,400.84

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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.