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Finding the Third Proportional to 57,842.25 and 117,294.38

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Solution

The third proportional to 57,842.25 and 117,294.38 is: 237,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,842.25 : 117,294.38 = 117,294.38 : x
  2. Step 2: Convert to fraction form
    57,842.25/117,294.38 = 117,294.38/x
  3. Step 3: Cross multiply
    57,842.25x = 117,294.38 × 117,294.38
  4. Step 4: Simplify right side
    57,842.25x = 13,757,970,406.64
  5. Step 5: Solve for x
    x = 13,757,970,406.64/57,842.25
  6. Step 6: Final answer
    x = 237,853.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.