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Finding the Third Proportional to 43,841.25 and 106,003.69

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Solution

The third proportional to 43,841.25 and 106,003.69 is: 256,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,841.25 : 106,003.69 = 106,003.69 : x
  2. Step 2: Convert to fraction form
    43,841.25/106,003.69 = 106,003.69/x
  3. Step 3: Cross multiply
    43,841.25x = 106,003.69 × 106,003.69
  4. Step 4: Simplify right side
    43,841.25x = 11,236,781,763.60
  5. Step 5: Solve for x
    x = 11,236,781,763.60/43,841.25
  6. Step 6: Final answer
    x = 256,306.14

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.