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Finding the Third Proportional to 108,760 and 159,234

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Solution

The third proportional to 108,760 and 159,234 is: 233,132.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,760 : 159,234 = 159,234 : x
  2. Step 2: Convert to fraction form
    108,760/159,234 = 159,234/x
  3. Step 3: Cross multiply
    108,760x = 159,234 × 159,234
  4. Step 4: Simplify right side
    108,760x = 25,355,466,756
  5. Step 5: Solve for x
    x = 25,355,466,756/108,760
  6. Step 6: Final answer
    x = 233,132.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.