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Finding the Third Proportional to 87,580 and 192,656

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Solution

The third proportional to 87,580 and 192,656 is: 423,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,580 : 192,656 = 192,656 : x
  2. Step 2: Convert to fraction form
    87,580/192,656 = 192,656/x
  3. Step 3: Cross multiply
    87,580x = 192,656 × 192,656
  4. Step 4: Simplify right side
    87,580x = 37,116,334,336
  5. Step 5: Solve for x
    x = 37,116,334,336/87,580
  6. Step 6: Final answer
    x = 423,799.20

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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.