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Finding the Third Proportional to 108,632 and 159,059

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Solution

The third proportional to 108,632 and 159,059 is: 232,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,632 : 159,059 = 159,059 : x
  2. Step 2: Convert to fraction form
    108,632/159,059 = 159,059/x
  3. Step 3: Cross multiply
    108,632x = 159,059 × 159,059
  4. Step 4: Simplify right side
    108,632x = 25,299,765,481
  5. Step 5: Solve for x
    x = 25,299,765,481/108,632
  6. Step 6: Final answer
    x = 232,894.23

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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.