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Finding the Third Proportional to 77,264 and 167,632

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Solution

The third proportional to 77,264 and 167,632 is: 363,694.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264 : 167,632 = 167,632 : x
  2. Step 2: Convert to fraction form
    77,264/167,632 = 167,632/x
  3. Step 3: Cross multiply
    77,264x = 167,632 × 167,632
  4. Step 4: Simplify right side
    77,264x = 28,100,487,424
  5. Step 5: Solve for x
    x = 28,100,487,424/77,264
  6. Step 6: Final answer
    x = 363,694.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.