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Finding the Third Proportional to 117,059 and 251,872.75

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Solution

The third proportional to 117,059 and 251,872.75 is: 541,947.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,059 : 251,872.75 = 251,872.75 : x
  2. Step 2: Convert to fraction form
    117,059/251,872.75 = 251,872.75/x
  3. Step 3: Cross multiply
    117,059x = 251,872.75 × 251,872.75
  4. Step 4: Simplify right side
    117,059x = 63,439,882,192.56
  5. Step 5: Solve for x
    x = 63,439,882,192.56/117,059
  6. Step 6: Final answer
    x = 541,947.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.