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Finding the Third Proportional to 43,759 and 95,991.50

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Solution

The third proportional to 43,759 and 95,991.50 is: 210,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,759 : 95,991.50 = 95,991.50 : x
  2. Step 2: Convert to fraction form
    43,759/95,991.50 = 95,991.50/x
  3. Step 3: Cross multiply
    43,759x = 95,991.50 × 95,991.50
  4. Step 4: Simplify right side
    43,759x = 9,214,368,072.25
  5. Step 5: Solve for x
    x = 9,214,368,072.25/43,759
  6. Step 6: Final answer
    x = 210,570.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.