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Finding the Third Proportional to 66,372 and 143,302

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Solution

The third proportional to 66,372 and 143,302 is: 309,399.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,372 : 143,302 = 143,302 : x
  2. Step 2: Convert to fraction form
    66,372/143,302 = 143,302/x
  3. Step 3: Cross multiply
    66,372x = 143,302 × 143,302
  4. Step 4: Simplify right side
    66,372x = 20,535,463,204
  5. Step 5: Solve for x
    x = 20,535,463,204/66,372
  6. Step 6: Final answer
    x = 309,399.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.