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Finding the Third Proportional to 51,825 and 107,544

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Solution

The third proportional to 51,825 and 107,544 is: 223,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825 : 107,544 = 107,544 : x
  2. Step 2: Convert to fraction form
    51,825/107,544 = 107,544/x
  3. Step 3: Cross multiply
    51,825x = 107,544 × 107,544
  4. Step 4: Simplify right side
    51,825x = 11,565,711,936
  5. Step 5: Solve for x
    x = 11,565,711,936/51,825
  6. Step 6: Final answer
    x = 223,168.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.