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Finding the Third Proportional to 126,126 and 271,386

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Solution

The third proportional to 126,126 and 271,386 is: 583,942.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,126 : 271,386 = 271,386 : x
  2. Step 2: Convert to fraction form
    126,126/271,386 = 271,386/x
  3. Step 3: Cross multiply
    126,126x = 271,386 × 271,386
  4. Step 4: Simplify right side
    126,126x = 73,650,360,996
  5. Step 5: Solve for x
    x = 73,650,360,996/126,126
  6. Step 6: Final answer
    x = 583,942.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.