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Finding the Third Proportional to 87,987 and 193,473

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Solution

The third proportional to 87,987 and 193,473 is: 425,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,987 : 193,473 = 193,473 : x
  2. Step 2: Convert to fraction form
    87,987/193,473 = 193,473/x
  3. Step 3: Cross multiply
    87,987x = 193,473 × 193,473
  4. Step 4: Simplify right side
    87,987x = 37,431,801,729
  5. Step 5: Solve for x
    x = 37,431,801,729/87,987
  6. Step 6: Final answer
    x = 425,424.23

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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.