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Finding the Third Proportional to 124,869 and 271,912

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Solution

The third proportional to 124,869 and 271,912 is: 592,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,869 : 271,912 = 271,912 : x
  2. Step 2: Convert to fraction form
    124,869/271,912 = 271,912/x
  3. Step 3: Cross multiply
    124,869x = 271,912 × 271,912
  4. Step 4: Simplify right side
    124,869x = 73,936,135,744
  5. Step 5: Solve for x
    x = 73,936,135,744/124,869
  6. Step 6: Final answer
    x = 592,109.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.