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Finding the Third Proportional to 124,886 and 271,940

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Solution

The third proportional to 124,886 and 271,940 is: 592,150.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,886 : 271,940 = 271,940 : x
  2. Step 2: Convert to fraction form
    124,886/271,940 = 271,940/x
  3. Step 3: Cross multiply
    124,886x = 271,940 × 271,940
  4. Step 4: Simplify right side
    124,886x = 73,951,363,600
  5. Step 5: Solve for x
    x = 73,951,363,600/124,886
  6. Step 6: Final answer
    x = 592,150.95

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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.