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Finding the Third Proportional to 95,212 and 225,575

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Solution

The third proportional to 95,212 and 225,575 is: 534,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,212 : 225,575 = 225,575 : x
  2. Step 2: Convert to fraction form
    95,212/225,575 = 225,575/x
  3. Step 3: Cross multiply
    95,212x = 225,575 × 225,575
  4. Step 4: Simplify right side
    95,212x = 50,884,080,625
  5. Step 5: Solve for x
    x = 50,884,080,625/95,212
  6. Step 6: Final answer
    x = 534,429.28

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.