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Finding the Third Proportional to 87,542 and 190,926

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Solution

The third proportional to 87,542 and 190,926 is: 416,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,542 : 190,926 = 190,926 : x
  2. Step 2: Convert to fraction form
    87,542/190,926 = 190,926/x
  3. Step 3: Cross multiply
    87,542x = 190,926 × 190,926
  4. Step 4: Simplify right side
    87,542x = 36,452,737,476
  5. Step 5: Solve for x
    x = 36,452,737,476/87,542
  6. Step 6: Final answer
    x = 416,402.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.