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Finding the Third Proportional to 51,567 and 109,235

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Solution

The third proportional to 51,567 and 109,235 is: 231,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,567 : 109,235 = 109,235 : x
  2. Step 2: Convert to fraction form
    51,567/109,235 = 109,235/x
  3. Step 3: Cross multiply
    51,567x = 109,235 × 109,235
  4. Step 4: Simplify right side
    51,567x = 11,932,285,225
  5. Step 5: Solve for x
    x = 11,932,285,225/51,567
  6. Step 6: Final answer
    x = 231,393.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.