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Finding the Third Proportional to 91,583 and 190,182

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Solution

The third proportional to 91,583 and 190,182 is: 394,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,583 : 190,182 = 190,182 : x
  2. Step 2: Convert to fraction form
    91,583/190,182 = 190,182/x
  3. Step 3: Cross multiply
    91,583x = 190,182 × 190,182
  4. Step 4: Simplify right side
    91,583x = 36,169,193,124
  5. Step 5: Solve for x
    x = 36,169,193,124/91,583
  6. Step 6: Final answer
    x = 394,933.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.