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Finding the Third Proportional to 43,161.75 and 65,643.75

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Solution

The third proportional to 43,161.75 and 65,643.75 is: 99,836.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,161.75 : 65,643.75 = 65,643.75 : x
  2. Step 2: Convert to fraction form
    43,161.75/65,643.75 = 65,643.75/x
  3. Step 3: Cross multiply
    43,161.75x = 65,643.75 × 65,643.75
  4. Step 4: Simplify right side
    43,161.75x = 4,309,101,914.06
  5. Step 5: Solve for x
    x = 4,309,101,914.06/43,161.75
  6. Step 6: Final answer
    x = 99,836.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.