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Finding the Third Proportional to 67,904 and 146,212

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Solution

The third proportional to 67,904 and 146,212 is: 314,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,904 : 146,212 = 146,212 : x
  2. Step 2: Convert to fraction form
    67,904/146,212 = 146,212/x
  3. Step 3: Cross multiply
    67,904x = 146,212 × 146,212
  4. Step 4: Simplify right side
    67,904x = 21,377,948,944
  5. Step 5: Solve for x
    x = 21,377,948,944/67,904
  6. Step 6: Final answer
    x = 314,826.06

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