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Finding the Third Proportional to 126,112 and 271,356

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Solution

The third proportional to 126,112 and 271,356 is: 583,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,112 : 271,356 = 271,356 : x
  2. Step 2: Convert to fraction form
    126,112/271,356 = 271,356/x
  3. Step 3: Cross multiply
    126,112x = 271,356 × 271,356
  4. Step 4: Simplify right side
    126,112x = 73,634,078,736
  5. Step 5: Solve for x
    x = 73,634,078,736/126,112
  6. Step 6: Final answer
    x = 583,878.45

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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.