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Finding the Third Proportional to 79,723 and 167,708

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Solution

The third proportional to 79,723 and 167,708 is: 352,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,723 : 167,708 = 167,708 : x
  2. Step 2: Convert to fraction form
    79,723/167,708 = 167,708/x
  3. Step 3: Cross multiply
    79,723x = 167,708 × 167,708
  4. Step 4: Simplify right side
    79,723x = 28,125,973,264
  5. Step 5: Solve for x
    x = 28,125,973,264/79,723
  6. Step 6: Final answer
    x = 352,796.22

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Why These Related Problems?

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