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Finding the Third Proportional to 43,672.50 and 100,821.75

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Solution

The third proportional to 43,672.50 and 100,821.75 is: 232,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,672.50 : 100,821.75 = 100,821.75 : x
  2. Step 2: Convert to fraction form
    43,672.50/100,821.75 = 100,821.75/x
  3. Step 3: Cross multiply
    43,672.50x = 100,821.75 × 100,821.75
  4. Step 4: Simplify right side
    43,672.50x = 10,165,025,273.06
  5. Step 5: Solve for x
    x = 10,165,025,273.06/43,672.50
  6. Step 6: Final answer
    x = 232,755.74

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.