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Finding the Third Proportional to 57,963 and 126,996

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Solution

The third proportional to 57,963 and 126,996 is: 278,246.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,963 : 126,996 = 126,996 : x
  2. Step 2: Convert to fraction form
    57,963/126,996 = 126,996/x
  3. Step 3: Cross multiply
    57,963x = 126,996 × 126,996
  4. Step 4: Simplify right side
    57,963x = 16,127,984,016
  5. Step 5: Solve for x
    x = 16,127,984,016/57,963
  6. Step 6: Final answer
    x = 278,246.19

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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.