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Finding the Third Proportional to 44,069 and 93,161

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Solution

The third proportional to 44,069 and 93,161 is: 196,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,069 : 93,161 = 93,161 : x
  2. Step 2: Convert to fraction form
    44,069/93,161 = 93,161/x
  3. Step 3: Cross multiply
    44,069x = 93,161 × 93,161
  4. Step 4: Simplify right side
    44,069x = 8,678,971,921
  5. Step 5: Solve for x
    x = 8,678,971,921/44,069
  6. Step 6: Final answer
    x = 196,940.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.