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Finding the Third Proportional to 127,059 and 270,552

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Solution

The third proportional to 127,059 and 270,552 is: 576,097.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,059 : 270,552 = 270,552 : x
  2. Step 2: Convert to fraction form
    127,059/270,552 = 270,552/x
  3. Step 3: Cross multiply
    127,059x = 270,552 × 270,552
  4. Step 4: Simplify right side
    127,059x = 73,198,384,704
  5. Step 5: Solve for x
    x = 73,198,384,704/127,059
  6. Step 6: Final answer
    x = 576,097.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.