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Finding the Third Proportional to 65,192 and 156,996

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Solution

The third proportional to 65,192 and 156,996 is: 378,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,192 : 156,996 = 156,996 : x
  2. Step 2: Convert to fraction form
    65,192/156,996 = 156,996/x
  3. Step 3: Cross multiply
    65,192x = 156,996 × 156,996
  4. Step 4: Simplify right side
    65,192x = 24,647,744,016
  5. Step 5: Solve for x
    x = 24,647,744,016/65,192
  6. Step 6: Final answer
    x = 378,079.27

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.