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Finding the Third Proportional to 41,422 and 92,208

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Solution

The third proportional to 41,422 and 92,208 is: 205,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,422 : 92,208 = 92,208 : x
  2. Step 2: Convert to fraction form
    41,422/92,208 = 92,208/x
  3. Step 3: Cross multiply
    41,422x = 92,208 × 92,208
  4. Step 4: Simplify right side
    41,422x = 8,502,315,264
  5. Step 5: Solve for x
    x = 8,502,315,264/41,422
  6. Step 6: Final answer
    x = 205,260.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.