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Finding the Third Proportional to 126,825.75 and 196,650.28

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Solution

The third proportional to 126,825.75 and 196,650.28 is: 304,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,825.75 : 196,650.28 = 196,650.28 : x
  2. Step 2: Convert to fraction form
    126,825.75/196,650.28 = 196,650.28/x
  3. Step 3: Cross multiply
    126,825.75x = 196,650.28 × 196,650.28
  4. Step 4: Simplify right side
    126,825.75x = 38,671,333,115.70
  5. Step 5: Solve for x
    x = 38,671,333,115.70/126,825.75
  6. Step 6: Final answer
    x = 304,917.05

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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.