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Finding the Third Proportional to 127,976 and 199,212

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Solution

The third proportional to 127,976 and 199,212 is: 310,100.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,976 : 199,212 = 199,212 : x
  2. Step 2: Convert to fraction form
    127,976/199,212 = 199,212/x
  3. Step 3: Cross multiply
    127,976x = 199,212 × 199,212
  4. Step 4: Simplify right side
    127,976x = 39,685,420,944
  5. Step 5: Solve for x
    x = 39,685,420,944/127,976
  6. Step 6: Final answer
    x = 310,100.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.