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Finding the Third Proportional to 77,922 and 169,884

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Solution

The third proportional to 77,922 and 169,884 is: 370,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,922 : 169,884 = 169,884 : x
  2. Step 2: Convert to fraction form
    77,922/169,884 = 169,884/x
  3. Step 3: Cross multiply
    77,922x = 169,884 × 169,884
  4. Step 4: Simplify right side
    77,922x = 28,860,573,456
  5. Step 5: Solve for x
    x = 28,860,573,456/77,922
  6. Step 6: Final answer
    x = 370,377.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.