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Finding the Third Proportional to 51,738.75 and 114,382.13

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Solution

The third proportional to 51,738.75 and 114,382.13 is: 252,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.75 : 114,382.13 = 114,382.13 : x
  2. Step 2: Convert to fraction form
    51,738.75/114,382.13 = 114,382.13/x
  3. Step 3: Cross multiply
    51,738.75x = 114,382.13 × 114,382.13
  4. Step 4: Simplify right side
    51,738.75x = 13,083,270,519.52
  5. Step 5: Solve for x
    x = 13,083,270,519.52/51,738.75
  6. Step 6: Final answer
    x = 252,871.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.