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Finding the Third Proportional to 67,178 and 100,416

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Solution

The third proportional to 67,178 and 100,416 is: 150,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,178 : 100,416 = 100,416 : x
  2. Step 2: Convert to fraction form
    67,178/100,416 = 100,416/x
  3. Step 3: Cross multiply
    67,178x = 100,416 × 100,416
  4. Step 4: Simplify right side
    67,178x = 10,083,373,056
  5. Step 5: Solve for x
    x = 10,083,373,056/67,178
  6. Step 6: Final answer
    x = 150,099.33

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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.