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Finding the Third Proportional to 91,704 and 191,736

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Solution

The third proportional to 91,704 and 191,736 is: 400,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,704 : 191,736 = 191,736 : x
  2. Step 2: Convert to fraction form
    91,704/191,736 = 191,736/x
  3. Step 3: Cross multiply
    91,704x = 191,736 × 191,736
  4. Step 4: Simplify right side
    91,704x = 36,762,693,696
  5. Step 5: Solve for x
    x = 36,762,693,696/91,704
  6. Step 6: Final answer
    x = 400,884.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.