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Finding the Third Proportional to 42,611 and 92,274

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Solution

The third proportional to 42,611 and 92,274 is: 199,819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,611 : 92,274 = 92,274 : x
  2. Step 2: Convert to fraction form
    42,611/92,274 = 92,274/x
  3. Step 3: Cross multiply
    42,611x = 92,274 × 92,274
  4. Step 4: Simplify right side
    42,611x = 8,514,491,076
  5. Step 5: Solve for x
    x = 8,514,491,076/42,611
  6. Step 6: Final answer
    x = 199,819.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.