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Finding the Third Proportional to 43,161.75 and 89,320.50

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Solution

The third proportional to 43,161.75 and 89,320.50 is: 184,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,161.75 : 89,320.50 = 89,320.50 : x
  2. Step 2: Convert to fraction form
    43,161.75/89,320.50 = 89,320.50/x
  3. Step 3: Cross multiply
    43,161.75x = 89,320.50 × 89,320.50
  4. Step 4: Simplify right side
    43,161.75x = 7,978,151,720.25
  5. Step 5: Solve for x
    x = 7,978,151,720.25/43,161.75
  6. Step 6: Final answer
    x = 184,843.10

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.