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Finding the Third Proportional to 131,226.75 and 196,959.75

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Solution

The third proportional to 131,226.75 and 196,959.75 is: 295,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,226.75 : 196,959.75 = 196,959.75 : x
  2. Step 2: Convert to fraction form
    131,226.75/196,959.75 = 196,959.75/x
  3. Step 3: Cross multiply
    131,226.75x = 196,959.75 × 196,959.75
  4. Step 4: Simplify right side
    131,226.75x = 38,793,143,120.06
  5. Step 5: Solve for x
    x = 38,793,143,120.06/131,226.75
  6. Step 6: Final answer
    x = 295,619.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.