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Finding the Third Proportional to 68,134 and 146,627

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Solution

The third proportional to 68,134 and 146,627 is: 315,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,134 : 146,627 = 146,627 : x
  2. Step 2: Convert to fraction form
    68,134/146,627 = 146,627/x
  3. Step 3: Cross multiply
    68,134x = 146,627 × 146,627
  4. Step 4: Simplify right side
    68,134x = 21,499,477,129
  5. Step 5: Solve for x
    x = 21,499,477,129/68,134
  6. Step 6: Final answer
    x = 315,546.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.