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Finding the Third Proportional to 56,048 and 80,608

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Solution

The third proportional to 56,048 and 80,608 is: 115,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,048 : 80,608 = 80,608 : x
  2. Step 2: Convert to fraction form
    56,048/80,608 = 80,608/x
  3. Step 3: Cross multiply
    56,048x = 80,608 × 80,608
  4. Step 4: Simplify right side
    56,048x = 6,497,649,664
  5. Step 5: Solve for x
    x = 6,497,649,664/56,048
  6. Step 6: Final answer
    x = 115,930.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.