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Finding the Third Proportional to 124,012 and 269,165

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Solution

The third proportional to 124,012 and 269,165 is: 584,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,012 : 269,165 = 269,165 : x
  2. Step 2: Convert to fraction form
    124,012/269,165 = 269,165/x
  3. Step 3: Cross multiply
    124,012x = 269,165 × 269,165
  4. Step 4: Simplify right side
    124,012x = 72,449,797,225
  5. Step 5: Solve for x
    x = 72,449,797,225/124,012
  6. Step 6: Final answer
    x = 584,216.02

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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.