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Finding the Third Proportional to 43,131.50 and 93,857

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Solution

The third proportional to 43,131.50 and 93,857 is: 204,239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,131.50 : 93,857 = 93,857 : x
  2. Step 2: Convert to fraction form
    43,131.50/93,857 = 93,857/x
  3. Step 3: Cross multiply
    43,131.50x = 93,857 × 93,857
  4. Step 4: Simplify right side
    43,131.50x = 8,809,136,449
  5. Step 5: Solve for x
    x = 8,809,136,449/43,131.50
  6. Step 6: Final answer
    x = 204,239.05

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Why These Related Problems?

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