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Finding the Third Proportional to 41,726.25 and 92,781.75

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Solution

The third proportional to 41,726.25 and 92,781.75 is: 206,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,726.25 : 92,781.75 = 92,781.75 : x
  2. Step 2: Convert to fraction form
    41,726.25/92,781.75 = 92,781.75/x
  3. Step 3: Cross multiply
    41,726.25x = 92,781.75 × 92,781.75
  4. Step 4: Simplify right side
    41,726.25x = 8,608,453,133.06
  5. Step 5: Solve for x
    x = 8,608,453,133.06/41,726.25
  6. Step 6: Final answer
    x = 206,307.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.