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Finding the Third Proportional to 68,325 and 146,859

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Solution

The third proportional to 68,325 and 146,859 is: 315,661.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,325 : 146,859 = 146,859 : x
  2. Step 2: Convert to fraction form
    68,325/146,859 = 146,859/x
  3. Step 3: Cross multiply
    68,325x = 146,859 × 146,859
  4. Step 4: Simplify right side
    68,325x = 21,567,565,881
  5. Step 5: Solve for x
    x = 21,567,565,881/68,325
  6. Step 6: Final answer
    x = 315,661.41

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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.