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Finding the Third Proportional to 127,184.75 and 276,512.75

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Solution

The third proportional to 127,184.75 and 276,512.75 is: 601,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,184.75 : 276,512.75 = 276,512.75 : x
  2. Step 2: Convert to fraction form
    127,184.75/276,512.75 = 276,512.75/x
  3. Step 3: Cross multiply
    127,184.75x = 276,512.75 × 276,512.75
  4. Step 4: Simplify right side
    127,184.75x = 76,459,300,912.56
  5. Step 5: Solve for x
    x = 76,459,300,912.56/127,184.75
  6. Step 6: Final answer
    x = 601,167.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.