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Finding the Third Proportional to 104,137 and 227,120

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Solution

The third proportional to 104,137 and 227,120 is: 495,342.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,137 : 227,120 = 227,120 : x
  2. Step 2: Convert to fraction form
    104,137/227,120 = 227,120/x
  3. Step 3: Cross multiply
    104,137x = 227,120 × 227,120
  4. Step 4: Simplify right side
    104,137x = 51,583,494,400
  5. Step 5: Solve for x
    x = 51,583,494,400/104,137
  6. Step 6: Final answer
    x = 495,342.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.