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Finding the Third Proportional to 57,896 and 126,876

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Solution

The third proportional to 57,896 and 126,876 is: 278,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896 : 126,876 = 126,876 : x
  2. Step 2: Convert to fraction form
    57,896/126,876 = 126,876/x
  3. Step 3: Cross multiply
    57,896x = 126,876 × 126,876
  4. Step 4: Simplify right side
    57,896x = 16,097,519,376
  5. Step 5: Solve for x
    x = 16,097,519,376/57,896
  6. Step 6: Final answer
    x = 278,042.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.