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Finding the Third Proportional to 36,109.55 and 80,517.16

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Solution

The third proportional to 36,109.55 and 80,517.16 is: 179,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,109.55 : 80,517.16 = 80,517.16 : x
  2. Step 2: Convert to fraction form
    36,109.55/80,517.16 = 80,517.16/x
  3. Step 3: Cross multiply
    36,109.55x = 80,517.16 × 80,517.16
  4. Step 4: Simplify right side
    36,109.55x = 6,483,013,708.67
  5. Step 5: Solve for x
    x = 6,483,013,708.67/36,109.55
  6. Step 6: Final answer
    x = 179,537.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.