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Finding the Third Proportional to 69,696 and 92,736

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Solution

The third proportional to 69,696 and 92,736 is: 123,392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696 : 92,736 = 92,736 : x
  2. Step 2: Convert to fraction form
    69,696/92,736 = 92,736/x
  3. Step 3: Cross multiply
    69,696x = 92,736 × 92,736
  4. Step 4: Simplify right side
    69,696x = 8,599,965,696
  5. Step 5: Solve for x
    x = 8,599,965,696/69,696
  6. Step 6: Final answer
    x = 123,392.53

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.