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Finding the Third Proportional to 95,212 and 208,759

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Solution

The third proportional to 95,212 and 208,759 is: 457,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,212 : 208,759 = 208,759 : x
  2. Step 2: Convert to fraction form
    95,212/208,759 = 208,759/x
  3. Step 3: Cross multiply
    95,212x = 208,759 × 208,759
  4. Step 4: Simplify right side
    95,212x = 43,580,320,081
  5. Step 5: Solve for x
    x = 43,580,320,081/95,212
  6. Step 6: Final answer
    x = 457,718.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.