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Finding the Third Proportional to 104,314 and 156,956

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Solution

The third proportional to 104,314 and 156,956 is: 236,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,314 : 156,956 = 156,956 : x
  2. Step 2: Convert to fraction form
    104,314/156,956 = 156,956/x
  3. Step 3: Cross multiply
    104,314x = 156,956 × 156,956
  4. Step 4: Simplify right side
    104,314x = 24,635,185,936
  5. Step 5: Solve for x
    x = 24,635,185,936/104,314
  6. Step 6: Final answer
    x = 236,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.