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Finding the Third Proportional to 67,206 and 100,161

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Solution

The third proportional to 67,206 and 100,161 is: 149,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,206 : 100,161 = 100,161 : x
  2. Step 2: Convert to fraction form
    67,206/100,161 = 100,161/x
  3. Step 3: Cross multiply
    67,206x = 100,161 × 100,161
  4. Step 4: Simplify right side
    67,206x = 10,032,225,921
  5. Step 5: Solve for x
    x = 10,032,225,921/67,206
  6. Step 6: Final answer
    x = 149,275.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.