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Finding the Third Proportional to 125,137 and 269,958

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Solution

The third proportional to 125,137 and 269,958 is: 582,380.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,137 : 269,958 = 269,958 : x
  2. Step 2: Convert to fraction form
    125,137/269,958 = 269,958/x
  3. Step 3: Cross multiply
    125,137x = 269,958 × 269,958
  4. Step 4: Simplify right side
    125,137x = 72,877,321,764
  5. Step 5: Solve for x
    x = 72,877,321,764/125,137
  6. Step 6: Final answer
    x = 582,380.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.