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Finding the Third Proportional to 68,019 and 149,166

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Solution

The third proportional to 68,019 and 149,166 is: 327,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019 : 149,166 = 149,166 : x
  2. Step 2: Convert to fraction form
    68,019/149,166 = 149,166/x
  3. Step 3: Cross multiply
    68,019x = 149,166 × 149,166
  4. Step 4: Simplify right side
    68,019x = 22,250,495,556
  5. Step 5: Solve for x
    x = 22,250,495,556/68,019
  6. Step 6: Final answer
    x = 327,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.