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Finding the Third Proportional to 36,230 and 76,420

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Solution

The third proportional to 36,230 and 76,420 is: 161,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,230 : 76,420 = 76,420 : x
  2. Step 2: Convert to fraction form
    36,230/76,420 = 76,420/x
  3. Step 3: Cross multiply
    36,230x = 76,420 × 76,420
  4. Step 4: Simplify right side
    36,230x = 5,840,016,400
  5. Step 5: Solve for x
    x = 5,840,016,400/36,230
  6. Step 6: Final answer
    x = 161,192.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.