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Finding the Third Proportional to 105,841.50 and 150,879

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Solution

The third proportional to 105,841.50 and 150,879 is: 215,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,841.50 : 150,879 = 150,879 : x
  2. Step 2: Convert to fraction form
    105,841.50/150,879 = 150,879/x
  3. Step 3: Cross multiply
    105,841.50x = 150,879 × 150,879
  4. Step 4: Simplify right side
    105,841.50x = 22,764,472,641
  5. Step 5: Solve for x
    x = 22,764,472,641/105,841.50
  6. Step 6: Final answer
    x = 215,080.78

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.