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Finding the Third Proportional to 87,806 and 193,540

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Solution

The third proportional to 87,806 and 193,540 is: 426,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,806 : 193,540 = 193,540 : x
  2. Step 2: Convert to fraction form
    87,806/193,540 = 193,540/x
  3. Step 3: Cross multiply
    87,806x = 193,540 × 193,540
  4. Step 4: Simplify right side
    87,806x = 37,457,731,600
  5. Step 5: Solve for x
    x = 37,457,731,600/87,806
  6. Step 6: Final answer
    x = 426,596.49

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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.