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Finding the Third Proportional to 127,939.50 and 273,375

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Solution

The third proportional to 127,939.50 and 273,375 is: 584,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,939.50 : 273,375 = 273,375 : x
  2. Step 2: Convert to fraction form
    127,939.50/273,375 = 273,375/x
  3. Step 3: Cross multiply
    127,939.50x = 273,375 × 273,375
  4. Step 4: Simplify right side
    127,939.50x = 74,733,890,625
  5. Step 5: Solve for x
    x = 74,733,890,625/127,939.50
  6. Step 6: Final answer
    x = 584,134.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.