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Finding the Third Proportional to 126,970 and 271,431

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Solution

The third proportional to 126,970 and 271,431 is: 580,253.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,970 : 271,431 = 271,431 : x
  2. Step 2: Convert to fraction form
    126,970/271,431 = 271,431/x
  3. Step 3: Cross multiply
    126,970x = 271,431 × 271,431
  4. Step 4: Simplify right side
    126,970x = 73,674,787,761
  5. Step 5: Solve for x
    x = 73,674,787,761/126,970
  6. Step 6: Final answer
    x = 580,253.51

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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.