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Finding the Third Proportional to 67,236.06 and 146,301.44

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Solution

The third proportional to 67,236.06 and 146,301.44 is: 318,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,236.06 : 146,301.44 = 146,301.44 : x
  2. Step 2: Convert to fraction form
    67,236.06/146,301.44 = 146,301.44/x
  3. Step 3: Cross multiply
    67,236.06x = 146,301.44 × 146,301.44
  4. Step 4: Simplify right side
    67,236.06x = 21,404,110,614.57
  5. Step 5: Solve for x
    x = 21,404,110,614.57/67,236.06
  6. Step 6: Final answer
    x = 318,342.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.