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Finding the Third Proportional to 57,867 and 126,813

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Solution

The third proportional to 57,867 and 126,813 is: 277,905.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,867 : 126,813 = 126,813 : x
  2. Step 2: Convert to fraction form
    57,867/126,813 = 126,813/x
  3. Step 3: Cross multiply
    57,867x = 126,813 × 126,813
  4. Step 4: Simplify right side
    57,867x = 16,081,536,969
  5. Step 5: Solve for x
    x = 16,081,536,969/57,867
  6. Step 6: Final answer
    x = 277,905.14

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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.