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Finding the Third Proportional to 79,714 and 167,690

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Solution

The third proportional to 79,714 and 167,690 is: 352,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,714 : 167,690 = 167,690 : x
  2. Step 2: Convert to fraction form
    79,714/167,690 = 167,690/x
  3. Step 3: Cross multiply
    79,714x = 167,690 × 167,690
  4. Step 4: Simplify right side
    79,714x = 28,119,936,100
  5. Step 5: Solve for x
    x = 28,119,936,100/79,714
  6. Step 6: Final answer
    x = 352,760.32

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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.