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Finding the Third Proportional to 45,867 and 100,755

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Solution

The third proportional to 45,867 and 100,755 is: 221,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867 : 100,755 = 100,755 : x
  2. Step 2: Convert to fraction form
    45,867/100,755 = 100,755/x
  3. Step 3: Cross multiply
    45,867x = 100,755 × 100,755
  4. Step 4: Simplify right side
    45,867x = 10,151,570,025
  5. Step 5: Solve for x
    x = 10,151,570,025/45,867
  6. Step 6: Final answer
    x = 221,326.23

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