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Finding the Third Proportional to 126,677 and 273,442

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Solution

The third proportional to 126,677 and 273,442 is: 590,245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,677 : 273,442 = 273,442 : x
  2. Step 2: Convert to fraction form
    126,677/273,442 = 273,442/x
  3. Step 3: Cross multiply
    126,677x = 273,442 × 273,442
  4. Step 4: Simplify right side
    126,677x = 74,770,527,364
  5. Step 5: Solve for x
    x = 74,770,527,364/126,677
  6. Step 6: Final answer
    x = 590,245.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.