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Finding the Third Proportional to 126,968 and 271,426

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Solution

The third proportional to 126,968 and 271,426 is: 580,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,968 : 271,426 = 271,426 : x
  2. Step 2: Convert to fraction form
    126,968/271,426 = 271,426/x
  3. Step 3: Cross multiply
    126,968x = 271,426 × 271,426
  4. Step 4: Simplify right side
    126,968x = 73,672,073,476
  5. Step 5: Solve for x
    x = 73,672,073,476/126,968
  6. Step 6: Final answer
    x = 580,241.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.