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Finding the Third Proportional to 51,540 and 111,504

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Solution

The third proportional to 51,540 and 111,504 is: 241,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540 : 111,504 = 111,504 : x
  2. Step 2: Convert to fraction form
    51,540/111,504 = 111,504/x
  3. Step 3: Cross multiply
    51,540x = 111,504 × 111,504
  4. Step 4: Simplify right side
    51,540x = 12,433,142,016
  5. Step 5: Solve for x
    x = 12,433,142,016/51,540
  6. Step 6: Final answer
    x = 241,232.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.