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Finding the Third Proportional to 41,850 and 91,994

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Solution

The third proportional to 41,850 and 91,994 is: 202,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,850 : 91,994 = 91,994 : x
  2. Step 2: Convert to fraction form
    41,850/91,994 = 91,994/x
  3. Step 3: Cross multiply
    41,850x = 91,994 × 91,994
  4. Step 4: Simplify right side
    41,850x = 8,462,896,036
  5. Step 5: Solve for x
    x = 8,462,896,036/41,850
  6. Step 6: Final answer
    x = 202,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.