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Finding the Third Proportional to 108,678 and 167,241

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Solution

The third proportional to 108,678 and 167,241 is: 257,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,678 : 167,241 = 167,241 : x
  2. Step 2: Convert to fraction form
    108,678/167,241 = 167,241/x
  3. Step 3: Cross multiply
    108,678x = 167,241 × 167,241
  4. Step 4: Simplify right side
    108,678x = 27,969,552,081
  5. Step 5: Solve for x
    x = 27,969,552,081/108,678
  6. Step 6: Final answer
    x = 257,361.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.