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Finding the Third Proportional to 57,997.69 and 127,203.75

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Solution

The third proportional to 57,997.69 and 127,203.75 is: 278,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,997.69 : 127,203.75 = 127,203.75 : x
  2. Step 2: Convert to fraction form
    57,997.69/127,203.75 = 127,203.75/x
  3. Step 3: Cross multiply
    57,997.69x = 127,203.75 × 127,203.75
  4. Step 4: Simplify right side
    57,997.69x = 16,180,794,014.06
  5. Step 5: Solve for x
    x = 16,180,794,014.06/57,997.69
  6. Step 6: Final answer
    x = 278,990.33

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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.