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Finding the Third Proportional to 57,912 and 126,906

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Solution

The third proportional to 57,912 and 126,906 is: 278,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,912 : 126,906 = 126,906 : x
  2. Step 2: Convert to fraction form
    57,912/126,906 = 126,906/x
  3. Step 3: Cross multiply
    57,912x = 126,906 × 126,906
  4. Step 4: Simplify right side
    57,912x = 16,105,132,836
  5. Step 5: Solve for x
    x = 16,105,132,836/57,912
  6. Step 6: Final answer
    x = 278,096.64

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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.