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Finding the Third Proportional to 127,179.75 and 196,745

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Solution

The third proportional to 127,179.75 and 196,745 is: 304,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,179.75 : 196,745 = 196,745 : x
  2. Step 2: Convert to fraction form
    127,179.75/196,745 = 196,745/x
  3. Step 3: Cross multiply
    127,179.75x = 196,745 × 196,745
  4. Step 4: Simplify right side
    127,179.75x = 38,708,595,025
  5. Step 5: Solve for x
    x = 38,708,595,025/127,179.75
  6. Step 6: Final answer
    x = 304,361.31

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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.