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Finding the Third Proportional to 67,837 and 149,207

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Solution

The third proportional to 67,837 and 149,207 is: 328,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,837 : 149,207 = 149,207 : x
  2. Step 2: Convert to fraction form
    67,837/149,207 = 149,207/x
  3. Step 3: Cross multiply
    67,837x = 149,207 × 149,207
  4. Step 4: Simplify right side
    67,837x = 22,262,728,849
  5. Step 5: Solve for x
    x = 22,262,728,849/67,837
  6. Step 6: Final answer
    x = 328,179.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.