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Finding the Third Proportional to 36,722 and 79,276

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Solution

The third proportional to 36,722 and 79,276 is: 171,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,722 : 79,276 = 79,276 : x
  2. Step 2: Convert to fraction form
    36,722/79,276 = 79,276/x
  3. Step 3: Cross multiply
    36,722x = 79,276 × 79,276
  4. Step 4: Simplify right side
    36,722x = 6,284,684,176
  5. Step 5: Solve for x
    x = 6,284,684,176/36,722
  6. Step 6: Final answer
    x = 171,142.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.