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Finding the Third Proportional to 127,137.09 and 196,984.41

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Solution

The third proportional to 127,137.09 and 196,984.41 is: 305,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,137.09 : 196,984.41 = 196,984.41 : x
  2. Step 2: Convert to fraction form
    127,137.09/196,984.41 = 196,984.41/x
  3. Step 3: Cross multiply
    127,137.09x = 196,984.41 × 196,984.41
  4. Step 4: Simplify right side
    127,137.09x = 38,802,856,305.67
  5. Step 5: Solve for x
    x = 38,802,856,305.67/127,137.09
  6. Step 6: Final answer
    x = 305,204.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.