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Finding the Third Proportional to 123,869 and 271,471

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Solution

The third proportional to 123,869 and 271,471 is: 594,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,869 : 271,471 = 271,471 : x
  2. Step 2: Convert to fraction form
    123,869/271,471 = 271,471/x
  3. Step 3: Cross multiply
    123,869x = 271,471 × 271,471
  4. Step 4: Simplify right side
    123,869x = 73,696,503,841
  5. Step 5: Solve for x
    x = 73,696,503,841/123,869
  6. Step 6: Final answer
    x = 594,955.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.