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Finding the Third Proportional to 87,824 and 171,232

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Solution

The third proportional to 87,824 and 171,232 is: 333,854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,824 : 171,232 = 171,232 : x
  2. Step 2: Convert to fraction form
    87,824/171,232 = 171,232/x
  3. Step 3: Cross multiply
    87,824x = 171,232 × 171,232
  4. Step 4: Simplify right side
    87,824x = 29,320,397,824
  5. Step 5: Solve for x
    x = 29,320,397,824/87,824
  6. Step 6: Final answer
    x = 333,854.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.