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Finding the Third Proportional to 105,099.75 and 158,743.13

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Solution

The third proportional to 105,099.75 and 158,743.13 is: 239,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,099.75 : 158,743.13 = 158,743.13 : x
  2. Step 2: Convert to fraction form
    105,099.75/158,743.13 = 158,743.13/x
  3. Step 3: Cross multiply
    105,099.75x = 158,743.13 × 158,743.13
  4. Step 4: Simplify right side
    105,099.75x = 25,199,379,734.77
  5. Step 5: Solve for x
    x = 25,199,379,734.77/105,099.75
  6. Step 6: Final answer
    x = 239,766.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.