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Finding the Third Proportional to 36,280 and 76,232

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Solution

The third proportional to 36,280 and 76,232 is: 160,179.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,280 : 76,232 = 76,232 : x
  2. Step 2: Convert to fraction form
    36,280/76,232 = 76,232/x
  3. Step 3: Cross multiply
    36,280x = 76,232 × 76,232
  4. Step 4: Simplify right side
    36,280x = 5,811,317,824
  5. Step 5: Solve for x
    x = 5,811,317,824/36,280
  6. Step 6: Final answer
    x = 160,179.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.