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Finding the Third Proportional to 92,436 and 140,384

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Solution

The third proportional to 92,436 and 140,384 is: 213,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,436 : 140,384 = 140,384 : x
  2. Step 2: Convert to fraction form
    92,436/140,384 = 140,384/x
  3. Step 3: Cross multiply
    92,436x = 140,384 × 140,384
  4. Step 4: Simplify right side
    92,436x = 19,707,667,456
  5. Step 5: Solve for x
    x = 19,707,667,456/92,436
  6. Step 6: Final answer
    x = 213,203.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.