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Finding the Third Proportional to 108,738 and 167,187

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Solution

The third proportional to 108,738 and 167,187 is: 257,053.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,738 : 167,187 = 167,187 : x
  2. Step 2: Convert to fraction form
    108,738/167,187 = 167,187/x
  3. Step 3: Cross multiply
    108,738x = 167,187 × 167,187
  4. Step 4: Simplify right side
    108,738x = 27,951,492,969
  5. Step 5: Solve for x
    x = 27,951,492,969/108,738
  6. Step 6: Final answer
    x = 257,053.59

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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.