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Finding the Third Proportional to 51,252.75 and 110,170.13

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Solution

The third proportional to 51,252.75 and 110,170.13 is: 236,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,252.75 : 110,170.13 = 110,170.13 : x
  2. Step 2: Convert to fraction form
    51,252.75/110,170.13 = 110,170.13/x
  3. Step 3: Cross multiply
    51,252.75x = 110,170.13 × 110,170.13
  4. Step 4: Simplify right side
    51,252.75x = 12,137,456,442.52
  5. Step 5: Solve for x
    x = 12,137,456,442.52/51,252.75
  6. Step 6: Final answer
    x = 236,815.71

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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.