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Finding the Third Proportional to 67,894 and 149,162

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Solution

The third proportional to 67,894 and 149,162 is: 327,706.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894 : 149,162 = 149,162 : x
  2. Step 2: Convert to fraction form
    67,894/149,162 = 149,162/x
  3. Step 3: Cross multiply
    67,894x = 149,162 × 149,162
  4. Step 4: Simplify right side
    67,894x = 22,249,302,244
  5. Step 5: Solve for x
    x = 22,249,302,244/67,894
  6. Step 6: Final answer
    x = 327,706.46

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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.