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Finding the Third Proportional to 36,906.50 and 79,190

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Solution

The third proportional to 36,906.50 and 79,190 is: 169,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.50 : 79,190 = 79,190 : x
  2. Step 2: Convert to fraction form
    36,906.50/79,190 = 79,190/x
  3. Step 3: Cross multiply
    36,906.50x = 79,190 × 79,190
  4. Step 4: Simplify right side
    36,906.50x = 6,271,056,100
  5. Step 5: Solve for x
    x = 6,271,056,100/36,906.50
  6. Step 6: Final answer
    x = 169,917.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.