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Finding the Third Proportional to 57,414 and 126,036.75

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Solution

The third proportional to 57,414 and 126,036.75 is: 276,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414 : 126,036.75 = 126,036.75 : x
  2. Step 2: Convert to fraction form
    57,414/126,036.75 = 126,036.75/x
  3. Step 3: Cross multiply
    57,414x = 126,036.75 × 126,036.75
  4. Step 4: Simplify right side
    57,414x = 15,885,262,350.56
  5. Step 5: Solve for x
    x = 15,885,262,350.56/57,414
  6. Step 6: Final answer
    x = 276,679.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.