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Finding the Third Proportional to 43,761.50 and 95,443

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Solution

The third proportional to 43,761.50 and 95,443 is: 208,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,761.50 : 95,443 = 95,443 : x
  2. Step 2: Convert to fraction form
    43,761.50/95,443 = 95,443/x
  3. Step 3: Cross multiply
    43,761.50x = 95,443 × 95,443
  4. Step 4: Simplify right side
    43,761.50x = 9,109,366,249
  5. Step 5: Solve for x
    x = 9,109,366,249/43,761.50
  6. Step 6: Final answer
    x = 208,159.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.