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Finding the Third Proportional to 75,980 and 156,817

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Solution

The third proportional to 75,980 and 156,817 is: 323,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,980 : 156,817 = 156,817 : x
  2. Step 2: Convert to fraction form
    75,980/156,817 = 156,817/x
  3. Step 3: Cross multiply
    75,980x = 156,817 × 156,817
  4. Step 4: Simplify right side
    75,980x = 24,591,571,489
  5. Step 5: Solve for x
    x = 24,591,571,489/75,980
  6. Step 6: Final answer
    x = 323,658.48

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.