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Finding the Third Proportional to 79,098 and 169,881

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Solution

The third proportional to 79,098 and 169,881 is: 364,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,098 : 169,881 = 169,881 : x
  2. Step 2: Convert to fraction form
    79,098/169,881 = 169,881/x
  3. Step 3: Cross multiply
    79,098x = 169,881 × 169,881
  4. Step 4: Simplify right side
    79,098x = 28,859,554,161
  5. Step 5: Solve for x
    x = 28,859,554,161/79,098
  6. Step 6: Final answer
    x = 364,858.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.