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Finding the Third Proportional to 51,660 and 113,004

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Solution

The third proportional to 51,660 and 113,004 is: 247,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,660 : 113,004 = 113,004 : x
  2. Step 2: Convert to fraction form
    51,660/113,004 = 113,004/x
  3. Step 3: Cross multiply
    51,660x = 113,004 × 113,004
  4. Step 4: Simplify right side
    51,660x = 12,769,904,016
  5. Step 5: Solve for x
    x = 12,769,904,016/51,660
  6. Step 6: Final answer
    x = 247,191.33

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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.