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Finding the Third Proportional to 110,861.16 and 171,212.48

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Solution

The third proportional to 110,861.16 and 171,212.48 is: 264,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,861.16 : 171,212.48 = 171,212.48 : x
  2. Step 2: Convert to fraction form
    110,861.16/171,212.48 = 171,212.48/x
  3. Step 3: Cross multiply
    110,861.16x = 171,212.48 × 171,212.48
  4. Step 4: Simplify right side
    110,861.16x = 29,313,714,805.86
  5. Step 5: Solve for x
    x = 29,313,714,805.86/110,861.16
  6. Step 6: Final answer
    x = 264,418.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.