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Finding the Third Proportional to 66,568.50 and 144,891.75

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Solution

The third proportional to 66,568.50 and 144,891.75 is: 315,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,568.50 : 144,891.75 = 144,891.75 : x
  2. Step 2: Convert to fraction form
    66,568.50/144,891.75 = 144,891.75/x
  3. Step 3: Cross multiply
    66,568.50x = 144,891.75 × 144,891.75
  4. Step 4: Simplify right side
    66,568.50x = 20,993,619,218.06
  5. Step 5: Solve for x
    x = 20,993,619,218.06/66,568.50
  6. Step 6: Final answer
    x = 315,368.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.