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Finding the Third Proportional to 87,194 and 194,128

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Solution

The third proportional to 87,194 and 194,128 is: 432,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,194 : 194,128 = 194,128 : x
  2. Step 2: Convert to fraction form
    87,194/194,128 = 194,128/x
  3. Step 3: Cross multiply
    87,194x = 194,128 × 194,128
  4. Step 4: Simplify right side
    87,194x = 37,685,680,384
  5. Step 5: Solve for x
    x = 37,685,680,384/87,194
  6. Step 6: Final answer
    x = 432,204.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.