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Finding the Third Proportional to 108,975 and 168,809

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Solution

The third proportional to 108,975 and 168,809 is: 261,495.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,975 : 168,809 = 168,809 : x
  2. Step 2: Convert to fraction form
    108,975/168,809 = 168,809/x
  3. Step 3: Cross multiply
    108,975x = 168,809 × 168,809
  4. Step 4: Simplify right side
    108,975x = 28,496,478,481
  5. Step 5: Solve for x
    x = 28,496,478,481/108,975
  6. Step 6: Final answer
    x = 261,495.56

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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.