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Finding the Third Proportional to 71,696 and 111,378

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Solution

The third proportional to 71,696 and 111,378 is: 173,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696 : 111,378 = 111,378 : x
  2. Step 2: Convert to fraction form
    71,696/111,378 = 111,378/x
  3. Step 3: Cross multiply
    71,696x = 111,378 × 111,378
  4. Step 4: Simplify right side
    71,696x = 12,405,058,884
  5. Step 5: Solve for x
    x = 12,405,058,884/71,696
  6. Step 6: Final answer
    x = 173,023.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.