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Finding the Third Proportional to 56,392 and 80,556

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Solution

The third proportional to 56,392 and 80,556 is: 115,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,392 : 80,556 = 80,556 : x
  2. Step 2: Convert to fraction form
    56,392/80,556 = 80,556/x
  3. Step 3: Cross multiply
    56,392x = 80,556 × 80,556
  4. Step 4: Simplify right side
    56,392x = 6,489,269,136
  5. Step 5: Solve for x
    x = 6,489,269,136/56,392
  6. Step 6: Final answer
    x = 115,074.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.