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Finding the Third Proportional to 43,157 and 92,311

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Solution

The third proportional to 43,157 and 92,311 is: 197,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,157 : 92,311 = 92,311 : x
  2. Step 2: Convert to fraction form
    43,157/92,311 = 92,311/x
  3. Step 3: Cross multiply
    43,157x = 92,311 × 92,311
  4. Step 4: Simplify right side
    43,157x = 8,521,320,721
  5. Step 5: Solve for x
    x = 8,521,320,721/43,157
  6. Step 6: Final answer
    x = 197,449.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.