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Finding the Third Proportional to 68,147 and 103,450

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Solution

The third proportional to 68,147 and 103,450 is: 157,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147 : 103,450 = 103,450 : x
  2. Step 2: Convert to fraction form
    68,147/103,450 = 103,450/x
  3. Step 3: Cross multiply
    68,147x = 103,450 × 103,450
  4. Step 4: Simplify right side
    68,147x = 10,701,902,500
  5. Step 5: Solve for x
    x = 10,701,902,500/68,147
  6. Step 6: Final answer
    x = 157,041.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.