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Finding the Third Proportional to 51,924 and 80,556

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Solution

The third proportional to 51,924 and 80,556 is: 124,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924 : 80,556 = 80,556 : x
  2. Step 2: Convert to fraction form
    51,924/80,556 = 80,556/x
  3. Step 3: Cross multiply
    51,924x = 80,556 × 80,556
  4. Step 4: Simplify right side
    51,924x = 6,489,269,136
  5. Step 5: Solve for x
    x = 6,489,269,136/51,924
  6. Step 6: Final answer
    x = 124,976.29

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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.