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Finding the Third Proportional to 50,874 and 77,823

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Solution

The third proportional to 50,874 and 77,823 is: 119,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,874 : 77,823 = 77,823 : x
  2. Step 2: Convert to fraction form
    50,874/77,823 = 77,823/x
  3. Step 3: Cross multiply
    50,874x = 77,823 × 77,823
  4. Step 4: Simplify right side
    50,874x = 6,056,419,329
  5. Step 5: Solve for x
    x = 6,056,419,329/50,874
  6. Step 6: Final answer
    x = 119,047.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.