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Finding the Third Proportional to 43,752.50 and 89,350.50

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Solution

The third proportional to 43,752.50 and 89,350.50 is: 182,469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,752.50 : 89,350.50 = 89,350.50 : x
  2. Step 2: Convert to fraction form
    43,752.50/89,350.50 = 89,350.50/x
  3. Step 3: Cross multiply
    43,752.50x = 89,350.50 × 89,350.50
  4. Step 4: Simplify right side
    43,752.50x = 7,983,511,850.25
  5. Step 5: Solve for x
    x = 7,983,511,850.25/43,752.50
  6. Step 6: Final answer
    x = 182,469.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.