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Finding the Third Proportional to 70,167 and 155,103

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Solution

The third proportional to 70,167 and 155,103 is: 342,852.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167 : 155,103 = 155,103 : x
  2. Step 2: Convert to fraction form
    70,167/155,103 = 155,103/x
  3. Step 3: Cross multiply
    70,167x = 155,103 × 155,103
  4. Step 4: Simplify right side
    70,167x = 24,056,940,609
  5. Step 5: Solve for x
    x = 24,056,940,609/70,167
  6. Step 6: Final answer
    x = 342,852.63

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.