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Finding the Third Proportional to 108,112 and 161,734

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Solution

The third proportional to 108,112 and 161,734 is: 241,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,112 : 161,734 = 161,734 : x
  2. Step 2: Convert to fraction form
    108,112/161,734 = 161,734/x
  3. Step 3: Cross multiply
    108,112x = 161,734 × 161,734
  4. Step 4: Simplify right side
    108,112x = 26,157,886,756
  5. Step 5: Solve for x
    x = 26,157,886,756/108,112
  6. Step 6: Final answer
    x = 241,951.74

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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.