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Finding the Third Proportional to 43,709.25 and 93,791.25

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Solution

The third proportional to 43,709.25 and 93,791.25 is: 201,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,709.25 : 93,791.25 = 93,791.25 : x
  2. Step 2: Convert to fraction form
    43,709.25/93,791.25 = 93,791.25/x
  3. Step 3: Cross multiply
    43,709.25x = 93,791.25 × 93,791.25
  4. Step 4: Simplify right side
    43,709.25x = 8,796,798,576.56
  5. Step 5: Solve for x
    x = 8,796,798,576.56/43,709.25
  6. Step 6: Final answer
    x = 201,257.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.