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Finding the Third Proportional to 57,316 and 126,256

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Solution

The third proportional to 57,316 and 126,256 is: 278,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,316 : 126,256 = 126,256 : x
  2. Step 2: Convert to fraction form
    57,316/126,256 = 126,256/x
  3. Step 3: Cross multiply
    57,316x = 126,256 × 126,256
  4. Step 4: Simplify right side
    57,316x = 15,940,577,536
  5. Step 5: Solve for x
    x = 15,940,577,536/57,316
  6. Step 6: Final answer
    x = 278,117.41

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