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Finding the Third Proportional to 126,719 and 274,351

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Solution

The third proportional to 126,719 and 274,351 is: 593,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,719 : 274,351 = 274,351 : x
  2. Step 2: Convert to fraction form
    126,719/274,351 = 274,351/x
  3. Step 3: Cross multiply
    126,719x = 274,351 × 274,351
  4. Step 4: Simplify right side
    126,719x = 75,268,471,201
  5. Step 5: Solve for x
    x = 75,268,471,201/126,719
  6. Step 6: Final answer
    x = 593,979.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.