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Finding the Third Proportional to 84,855 and 167,567

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Solution

The third proportional to 84,855 and 167,567 is: 330,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,855 : 167,567 = 167,567 : x
  2. Step 2: Convert to fraction form
    84,855/167,567 = 167,567/x
  3. Step 3: Cross multiply
    84,855x = 167,567 × 167,567
  4. Step 4: Simplify right side
    84,855x = 28,078,699,489
  5. Step 5: Solve for x
    x = 28,078,699,489/84,855
  6. Step 6: Final answer
    x = 330,902.12

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.