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Finding the Third Proportional to 102,993.75 and 159,391.13

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Solution

The third proportional to 102,993.75 and 159,391.13 is: 246,670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.75 : 159,391.13 = 159,391.13 : x
  2. Step 2: Convert to fraction form
    102,993.75/159,391.13 = 159,391.13/x
  3. Step 3: Cross multiply
    102,993.75x = 159,391.13 × 159,391.13
  4. Step 4: Simplify right side
    102,993.75x = 25,405,530,728.77
  5. Step 5: Solve for x
    x = 25,405,530,728.77/102,993.75
  6. Step 6: Final answer
    x = 246,670.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.