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Finding the Third Proportional to 68,834 and 104,195

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Solution

The third proportional to 68,834 and 104,195 is: 157,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,834 : 104,195 = 104,195 : x
  2. Step 2: Convert to fraction form
    68,834/104,195 = 104,195/x
  3. Step 3: Cross multiply
    68,834x = 104,195 × 104,195
  4. Step 4: Simplify right side
    68,834x = 10,856,598,025
  5. Step 5: Solve for x
    x = 10,856,598,025/68,834
  6. Step 6: Final answer
    x = 157,721.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.