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Finding the Third Proportional to 83,907 and 167,751

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Solution

The third proportional to 83,907 and 167,751 is: 335,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,907 : 167,751 = 167,751 : x
  2. Step 2: Convert to fraction form
    83,907/167,751 = 167,751/x
  3. Step 3: Cross multiply
    83,907x = 167,751 × 167,751
  4. Step 4: Simplify right side
    83,907x = 28,140,398,001
  5. Step 5: Solve for x
    x = 28,140,398,001/83,907
  6. Step 6: Final answer
    x = 335,376.05

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.