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Finding the Third Proportional to 51,131.25 and 74,418.75

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Solution

The third proportional to 51,131.25 and 74,418.75 is: 108,312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,131.25 : 74,418.75 = 74,418.75 : x
  2. Step 2: Convert to fraction form
    51,131.25/74,418.75 = 74,418.75/x
  3. Step 3: Cross multiply
    51,131.25x = 74,418.75 × 74,418.75
  4. Step 4: Simplify right side
    51,131.25x = 5,538,150,351.56
  5. Step 5: Solve for x
    x = 5,538,150,351.56/51,131.25
  6. Step 6: Final answer
    x = 108,312.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.