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Finding the Third Proportional to 50,882 and 77,834

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Solution

The third proportional to 50,882 and 77,834 is: 119,062.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,882 : 77,834 = 77,834 : x
  2. Step 2: Convert to fraction form
    50,882/77,834 = 77,834/x
  3. Step 3: Cross multiply
    50,882x = 77,834 × 77,834
  4. Step 4: Simplify right side
    50,882x = 6,058,131,556
  5. Step 5: Solve for x
    x = 6,058,131,556/50,882
  6. Step 6: Final answer
    x = 119,062.37

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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.