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Finding the Third Proportional to 62,186.06 and 146,183.06

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Solution

The third proportional to 62,186.06 and 146,183.06 is: 343,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,186.06 : 146,183.06 = 146,183.06 : x
  2. Step 2: Convert to fraction form
    62,186.06/146,183.06 = 146,183.06/x
  3. Step 3: Cross multiply
    62,186.06x = 146,183.06 × 146,183.06
  4. Step 4: Simplify right side
    62,186.06x = 21,369,487,761.88
  5. Step 5: Solve for x
    x = 21,369,487,761.88/62,186.06
  6. Step 6: Final answer
    x = 343,637.90

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.