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Finding the Third Proportional to 91,785 and 194,581

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Solution

The third proportional to 91,785 and 194,581 is: 412,504.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,785 : 194,581 = 194,581 : x
  2. Step 2: Convert to fraction form
    91,785/194,581 = 194,581/x
  3. Step 3: Cross multiply
    91,785x = 194,581 × 194,581
  4. Step 4: Simplify right side
    91,785x = 37,861,765,561
  5. Step 5: Solve for x
    x = 37,861,765,561/91,785
  6. Step 6: Final answer
    x = 412,504.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.