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Finding the Third Proportional to 79,708 and 167,678

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Solution

The third proportional to 79,708 and 167,678 is: 352,736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,708 : 167,678 = 167,678 : x
  2. Step 2: Convert to fraction form
    79,708/167,678 = 167,678/x
  3. Step 3: Cross multiply
    79,708x = 167,678 × 167,678
  4. Step 4: Simplify right side
    79,708x = 28,115,911,684
  5. Step 5: Solve for x
    x = 28,115,911,684/79,708
  6. Step 6: Final answer
    x = 352,736.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.