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Finding the Third Proportional to 75,967.50 and 156,795

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Solution

The third proportional to 75,967.50 and 156,795 is: 323,620.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.50 : 156,795 = 156,795 : x
  2. Step 2: Convert to fraction form
    75,967.50/156,795 = 156,795/x
  3. Step 3: Cross multiply
    75,967.50x = 156,795 × 156,795
  4. Step 4: Simplify right side
    75,967.50x = 24,584,672,025
  5. Step 5: Solve for x
    x = 24,584,672,025/75,967.50
  6. Step 6: Final answer
    x = 323,620.92

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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.