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Finding the Third Proportional to 57,094 and 126,427

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Solution

The third proportional to 57,094 and 126,427 is: 279,955.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,094 : 126,427 = 126,427 : x
  2. Step 2: Convert to fraction form
    57,094/126,427 = 126,427/x
  3. Step 3: Cross multiply
    57,094x = 126,427 × 126,427
  4. Step 4: Simplify right side
    57,094x = 15,983,786,329
  5. Step 5: Solve for x
    x = 15,983,786,329/57,094
  6. Step 6: Final answer
    x = 279,955.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.