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Finding the Third Proportional to 78,920 and 167,632

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Solution

The third proportional to 78,920 and 167,632 is: 356,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,920 : 167,632 = 167,632 : x
  2. Step 2: Convert to fraction form
    78,920/167,632 = 167,632/x
  3. Step 3: Cross multiply
    78,920x = 167,632 × 167,632
  4. Step 4: Simplify right side
    78,920x = 28,100,487,424
  5. Step 5: Solve for x
    x = 28,100,487,424/78,920
  6. Step 6: Final answer
    x = 356,062.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.