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Finding the Third Proportional to 51,647 and 110,827

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Solution

The third proportional to 51,647 and 110,827 is: 237,818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,647 : 110,827 = 110,827 : x
  2. Step 2: Convert to fraction form
    51,647/110,827 = 110,827/x
  3. Step 3: Cross multiply
    51,647x = 110,827 × 110,827
  4. Step 4: Simplify right side
    51,647x = 12,282,623,929
  5. Step 5: Solve for x
    x = 12,282,623,929/51,647
  6. Step 6: Final answer
    x = 237,818.73

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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.