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Finding the Third Proportional to 87,212 and 188,367

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Solution

The third proportional to 87,212 and 188,367 is: 406,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,212 : 188,367 = 188,367 : x
  2. Step 2: Convert to fraction form
    87,212/188,367 = 188,367/x
  3. Step 3: Cross multiply
    87,212x = 188,367 × 188,367
  4. Step 4: Simplify right side
    87,212x = 35,482,126,689
  5. Step 5: Solve for x
    x = 35,482,126,689/87,212
  6. Step 6: Final answer
    x = 406,849.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.