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Finding the Third Proportional to 68,167 and 145,811

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Solution

The third proportional to 68,167 and 145,811 is: 311,893.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,167 : 145,811 = 145,811 : x
  2. Step 2: Convert to fraction form
    68,167/145,811 = 145,811/x
  3. Step 3: Cross multiply
    68,167x = 145,811 × 145,811
  4. Step 4: Simplify right side
    68,167x = 21,260,847,721
  5. Step 5: Solve for x
    x = 21,260,847,721/68,167
  6. Step 6: Final answer
    x = 311,893.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.