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Finding the Third Proportional to 51,738.75 and 79,899.75

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Solution

The third proportional to 51,738.75 and 79,899.75 is: 123,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,738.75 : 79,899.75 = 79,899.75 : x
  2. Step 2: Convert to fraction form
    51,738.75/79,899.75 = 79,899.75/x
  3. Step 3: Cross multiply
    51,738.75x = 79,899.75 × 79,899.75
  4. Step 4: Simplify right side
    51,738.75x = 6,383,970,050.06
  5. Step 5: Solve for x
    x = 6,383,970,050.06/51,738.75
  6. Step 6: Final answer
    x = 123,388.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.