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Finding the Third Proportional to 57,889 and 126,872

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Solution

The third proportional to 57,889 and 126,872 is: 278,058.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,889 : 126,872 = 126,872 : x
  2. Step 2: Convert to fraction form
    57,889/126,872 = 126,872/x
  3. Step 3: Cross multiply
    57,889x = 126,872 × 126,872
  4. Step 4: Simplify right side
    57,889x = 16,096,504,384
  5. Step 5: Solve for x
    x = 16,096,504,384/57,889
  6. Step 6: Final answer
    x = 278,058.08

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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.