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Finding the Third Proportional to 57,185 and 126,004

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Solution

The third proportional to 57,185 and 126,004 is: 277,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185 : 126,004 = 126,004 : x
  2. Step 2: Convert to fraction form
    57,185/126,004 = 126,004/x
  3. Step 3: Cross multiply
    57,185x = 126,004 × 126,004
  4. Step 4: Simplify right side
    57,185x = 15,877,008,016
  5. Step 5: Solve for x
    x = 15,877,008,016/57,185
  6. Step 6: Final answer
    x = 277,642.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.