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Finding the Third Proportional to 79,920 and 173,781

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Solution

The third proportional to 79,920 and 173,781 is: 377,875.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,920 : 173,781 = 173,781 : x
  2. Step 2: Convert to fraction form
    79,920/173,781 = 173,781/x
  3. Step 3: Cross multiply
    79,920x = 173,781 × 173,781
  4. Step 4: Simplify right side
    79,920x = 30,199,835,961
  5. Step 5: Solve for x
    x = 30,199,835,961/79,920
  6. Step 6: Final answer
    x = 377,875.83

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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.