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Finding the Third Proportional to 67,894 and 149,161

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Solution

The third proportional to 67,894 and 149,161 is: 327,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,894 : 149,161 = 149,161 : x
  2. Step 2: Convert to fraction form
    67,894/149,161 = 149,161/x
  3. Step 3: Cross multiply
    67,894x = 149,161 × 149,161
  4. Step 4: Simplify right side
    67,894x = 22,249,003,921
  5. Step 5: Solve for x
    x = 22,249,003,921/67,894
  6. Step 6: Final answer
    x = 327,702.06

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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.