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Finding the Third Proportional to 108,086 and 161,697

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Solution

The third proportional to 108,086 and 161,697 is: 241,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,086 : 161,697 = 161,697 : x
  2. Step 2: Convert to fraction form
    108,086/161,697 = 161,697/x
  3. Step 3: Cross multiply
    108,086x = 161,697 × 161,697
  4. Step 4: Simplify right side
    108,086x = 26,145,919,809
  5. Step 5: Solve for x
    x = 26,145,919,809/108,086
  6. Step 6: Final answer
    x = 241,899.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.