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Finding the Third Proportional to 124,974 and 271,278

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Solution

The third proportional to 124,974 and 271,278 is: 588,856.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,974 : 271,278 = 271,278 : x
  2. Step 2: Convert to fraction form
    124,974/271,278 = 271,278/x
  3. Step 3: Cross multiply
    124,974x = 271,278 × 271,278
  4. Step 4: Simplify right side
    124,974x = 73,591,753,284
  5. Step 5: Solve for x
    x = 73,591,753,284/124,974
  6. Step 6: Final answer
    x = 588,856.51

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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.