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Finding the Third Proportional to 127,996 and 279,104

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Solution

The third proportional to 127,996 and 279,104 is: 608,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,996 : 279,104 = 279,104 : x
  2. Step 2: Convert to fraction form
    127,996/279,104 = 279,104/x
  3. Step 3: Cross multiply
    127,996x = 279,104 × 279,104
  4. Step 4: Simplify right side
    127,996x = 77,899,042,816
  5. Step 5: Solve for x
    x = 77,899,042,816/127,996
  6. Step 6: Final answer
    x = 608,605.29

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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.