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Finding the Third Proportional to 127,067 and 276,267.25

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Solution

The third proportional to 127,067 and 276,267.25 is: 600,656.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,067 : 276,267.25 = 276,267.25 : x
  2. Step 2: Convert to fraction form
    127,067/276,267.25 = 276,267.25/x
  3. Step 3: Cross multiply
    127,067x = 276,267.25 × 276,267.25
  4. Step 4: Simplify right side
    127,067x = 76,323,593,422.56
  5. Step 5: Solve for x
    x = 76,323,593,422.56/127,067
  6. Step 6: Final answer
    x = 600,656.29

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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.