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Finding the Third Proportional to 108,674 and 161,859

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Solution

The third proportional to 108,674 and 161,859 is: 241,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,674 : 161,859 = 161,859 : x
  2. Step 2: Convert to fraction form
    108,674/161,859 = 161,859/x
  3. Step 3: Cross multiply
    108,674x = 161,859 × 161,859
  4. Step 4: Simplify right side
    108,674x = 26,198,335,881
  5. Step 5: Solve for x
    x = 26,198,335,881/108,674
  6. Step 6: Final answer
    x = 241,072.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.