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Finding the Third Proportional to 85,758 and 183,822

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Solution

The third proportional to 85,758 and 183,822 is: 394,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,758 : 183,822 = 183,822 : x
  2. Step 2: Convert to fraction form
    85,758/183,822 = 183,822/x
  3. Step 3: Cross multiply
    85,758x = 183,822 × 183,822
  4. Step 4: Simplify right side
    85,758x = 33,790,527,684
  5. Step 5: Solve for x
    x = 33,790,527,684/85,758
  6. Step 6: Final answer
    x = 394,021.87

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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.