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Finding the Third Proportional to 68,586.75 and 144,645.75

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Solution

The third proportional to 68,586.75 and 144,645.75 is: 305,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,586.75 : 144,645.75 = 144,645.75 : x
  2. Step 2: Convert to fraction form
    68,586.75/144,645.75 = 144,645.75/x
  3. Step 3: Cross multiply
    68,586.75x = 144,645.75 × 144,645.75
  4. Step 4: Simplify right side
    68,586.75x = 20,922,392,993.06
  5. Step 5: Solve for x
    x = 20,922,392,993.06/68,586.75
  6. Step 6: Final answer
    x = 305,050.07

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.