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Finding the Third Proportional to 94,581 and 193,536

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Solution

The third proportional to 94,581 and 193,536 is: 396,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,581 : 193,536 = 193,536 : x
  2. Step 2: Convert to fraction form
    94,581/193,536 = 193,536/x
  3. Step 3: Cross multiply
    94,581x = 193,536 × 193,536
  4. Step 4: Simplify right side
    94,581x = 37,456,183,296
  5. Step 5: Solve for x
    x = 37,456,183,296/94,581
  6. Step 6: Final answer
    x = 396,022.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.