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Finding the Third Proportional to 51,511 and 79,717

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Solution

The third proportional to 51,511 and 79,717 is: 123,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,511 : 79,717 = 79,717 : x
  2. Step 2: Convert to fraction form
    51,511/79,717 = 79,717/x
  3. Step 3: Cross multiply
    51,511x = 79,717 × 79,717
  4. Step 4: Simplify right side
    51,511x = 6,354,800,089
  5. Step 5: Solve for x
    x = 6,354,800,089/51,511
  6. Step 6: Final answer
    x = 123,367.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.