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Finding the Third Proportional to 65,062 and 132,956

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Solution

The third proportional to 65,062 and 132,956 is: 271,699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,062 : 132,956 = 132,956 : x
  2. Step 2: Convert to fraction form
    65,062/132,956 = 132,956/x
  3. Step 3: Cross multiply
    65,062x = 132,956 × 132,956
  4. Step 4: Simplify right side
    65,062x = 17,677,297,936
  5. Step 5: Solve for x
    x = 17,677,297,936/65,062
  6. Step 6: Final answer
    x = 271,699.27

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.