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Finding the Third Proportional to 65,954 and 146,676

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Solution

The third proportional to 65,954 and 146,676 is: 326,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 146,676 = 146,676 : x
  2. Step 2: Convert to fraction form
    65,954/146,676 = 146,676/x
  3. Step 3: Cross multiply
    65,954x = 146,676 × 146,676
  4. Step 4: Simplify right side
    65,954x = 21,513,848,976
  5. Step 5: Solve for x
    x = 21,513,848,976/65,954
  6. Step 6: Final answer
    x = 326,194.76

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.