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Finding the Third Proportional to 125,124 and 269,932

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Solution

The third proportional to 125,124 and 269,932 is: 582,328.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,124 : 269,932 = 269,932 : x
  2. Step 2: Convert to fraction form
    125,124/269,932 = 269,932/x
  3. Step 3: Cross multiply
    125,124x = 269,932 × 269,932
  4. Step 4: Simplify right side
    125,124x = 72,863,284,624
  5. Step 5: Solve for x
    x = 72,863,284,624/125,124
  6. Step 6: Final answer
    x = 582,328.61

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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.