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Finding the Third Proportional to 57,962 and 126,994

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Solution

The third proportional to 57,962 and 126,994 is: 278,242.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,962 : 126,994 = 126,994 : x
  2. Step 2: Convert to fraction form
    57,962/126,994 = 126,994/x
  3. Step 3: Cross multiply
    57,962x = 126,994 × 126,994
  4. Step 4: Simplify right side
    57,962x = 16,127,476,036
  5. Step 5: Solve for x
    x = 16,127,476,036/57,962
  6. Step 6: Final answer
    x = 278,242.23

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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.