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Finding the Third Proportional to 43,206 and 92,676

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Solution

The third proportional to 43,206 and 92,676 is: 198,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,206 : 92,676 = 92,676 : x
  2. Step 2: Convert to fraction form
    43,206/92,676 = 92,676/x
  3. Step 3: Cross multiply
    43,206x = 92,676 × 92,676
  4. Step 4: Simplify right side
    43,206x = 8,588,840,976
  5. Step 5: Solve for x
    x = 8,588,840,976/43,206
  6. Step 6: Final answer
    x = 198,788.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.