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Finding the Third Proportional to 80,168 and 126,937

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Solution

The third proportional to 80,168 and 126,937 is: 200,990.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168 : 126,937 = 126,937 : x
  2. Step 2: Convert to fraction form
    80,168/126,937 = 126,937/x
  3. Step 3: Cross multiply
    80,168x = 126,937 × 126,937
  4. Step 4: Simplify right side
    80,168x = 16,113,001,969
  5. Step 5: Solve for x
    x = 16,113,001,969/80,168
  6. Step 6: Final answer
    x = 200,990.44

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.