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Finding the Third Proportional to 51,882 and 75,069

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Solution

The third proportional to 51,882 and 75,069 is: 108,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882 : 75,069 = 75,069 : x
  2. Step 2: Convert to fraction form
    51,882/75,069 = 75,069/x
  3. Step 3: Cross multiply
    51,882x = 75,069 × 75,069
  4. Step 4: Simplify right side
    51,882x = 5,635,354,761
  5. Step 5: Solve for x
    x = 5,635,354,761/51,882
  6. Step 6: Final answer
    x = 108,618.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.