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Finding the Third Proportional to 43,647.75 and 89,133.75

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Solution

The third proportional to 43,647.75 and 89,133.75 is: 182,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,647.75 : 89,133.75 = 89,133.75 : x
  2. Step 2: Convert to fraction form
    43,647.75/89,133.75 = 89,133.75/x
  3. Step 3: Cross multiply
    43,647.75x = 89,133.75 × 89,133.75
  4. Step 4: Simplify right side
    43,647.75x = 7,944,825,389.06
  5. Step 5: Solve for x
    x = 7,944,825,389.06/43,647.75
  6. Step 6: Final answer
    x = 182,021.42

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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.