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Finding the Third Proportional to 124,627 and 271,811

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Solution

The third proportional to 124,627 and 271,811 is: 592,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,627 : 271,811 = 271,811 : x
  2. Step 2: Convert to fraction form
    124,627/271,811 = 271,811/x
  3. Step 3: Cross multiply
    124,627x = 271,811 × 271,811
  4. Step 4: Simplify right side
    124,627x = 73,881,219,721
  5. Step 5: Solve for x
    x = 73,881,219,721/124,627
  6. Step 6: Final answer
    x = 592,818.73

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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.