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Finding the Third Proportional to 75,381 and 156,965

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Solution

The third proportional to 75,381 and 156,965 is: 326,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,381 : 156,965 = 156,965 : x
  2. Step 2: Convert to fraction form
    75,381/156,965 = 156,965/x
  3. Step 3: Cross multiply
    75,381x = 156,965 × 156,965
  4. Step 4: Simplify right side
    75,381x = 24,638,011,225
  5. Step 5: Solve for x
    x = 24,638,011,225/75,381
  6. Step 6: Final answer
    x = 326,846.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.