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Finding the Third Proportional to 124,015 and 269,171

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Solution

The third proportional to 124,015 and 269,171 is: 584,227.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,015 : 269,171 = 269,171 : x
  2. Step 2: Convert to fraction form
    124,015/269,171 = 269,171/x
  3. Step 3: Cross multiply
    124,015x = 269,171 × 269,171
  4. Step 4: Simplify right side
    124,015x = 72,453,027,241
  5. Step 5: Solve for x
    x = 72,453,027,241/124,015
  6. Step 6: Final answer
    x = 584,227.93

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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.