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Finding the Third Proportional to 50,872.88 and 110,786.06

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Solution

The third proportional to 50,872.88 and 110,786.06 is: 241,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,872.88 : 110,786.06 = 110,786.06 : x
  2. Step 2: Convert to fraction form
    50,872.88/110,786.06 = 110,786.06/x
  3. Step 3: Cross multiply
    50,872.88x = 110,786.06 × 110,786.06
  4. Step 4: Simplify right side
    50,872.88x = 12,273,551,644.25
  5. Step 5: Solve for x
    x = 12,273,551,644.25/50,872.88
  6. Step 6: Final answer
    x = 241,259.25

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.