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Finding the Third Proportional to 50,954.06 and 119,891.81

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Solution

The third proportional to 50,954.06 and 119,891.81 is: 282,098.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,954.06 : 119,891.81 = 119,891.81 : x
  2. Step 2: Convert to fraction form
    50,954.06/119,891.81 = 119,891.81/x
  3. Step 3: Cross multiply
    50,954.06x = 119,891.81 × 119,891.81
  4. Step 4: Simplify right side
    50,954.06x = 14,374,046,704.54
  5. Step 5: Solve for x
    x = 14,374,046,704.54/50,954.06
  6. Step 6: Final answer
    x = 282,098.15

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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.