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Finding the Third Proportional to 66,041 and 143,867

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Solution

The third proportional to 66,041 and 143,867 is: 313,407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,041 : 143,867 = 143,867 : x
  2. Step 2: Convert to fraction form
    66,041/143,867 = 143,867/x
  3. Step 3: Cross multiply
    66,041x = 143,867 × 143,867
  4. Step 4: Simplify right side
    66,041x = 20,697,713,689
  5. Step 5: Solve for x
    x = 20,697,713,689/66,041
  6. Step 6: Final answer
    x = 313,407.03

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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.