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Finding the Third Proportional to 49,297.88 and 107,925

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Solution

The third proportional to 49,297.88 and 107,925 is: 236,273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297.88 : 107,925 = 107,925 : x
  2. Step 2: Convert to fraction form
    49,297.88/107,925 = 107,925/x
  3. Step 3: Cross multiply
    49,297.88x = 107,925 × 107,925
  4. Step 4: Simplify right side
    49,297.88x = 11,647,805,625
  5. Step 5: Solve for x
    x = 11,647,805,625/49,297.88
  6. Step 6: Final answer
    x = 236,273.99

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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.