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Finding the Third Proportional to 76,198 and 163,736

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Solution

The third proportional to 76,198 and 163,736 is: 351,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198 : 163,736 = 163,736 : x
  2. Step 2: Convert to fraction form
    76,198/163,736 = 163,736/x
  3. Step 3: Cross multiply
    76,198x = 163,736 × 163,736
  4. Step 4: Simplify right side
    76,198x = 26,809,477,696
  5. Step 5: Solve for x
    x = 26,809,477,696/76,198
  6. Step 6: Final answer
    x = 351,839.65

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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.