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Finding the Third Proportional to 51,882 and 79,119

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Solution

The third proportional to 51,882 and 79,119 is: 120,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,882 : 79,119 = 79,119 : x
  2. Step 2: Convert to fraction form
    51,882/79,119 = 79,119/x
  3. Step 3: Cross multiply
    51,882x = 79,119 × 79,119
  4. Step 4: Simplify right side
    51,882x = 6,259,816,161
  5. Step 5: Solve for x
    x = 6,259,816,161/51,882
  6. Step 6: Final answer
    x = 120,654.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.