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Finding the Third Proportional to 50,376.94 and 76,772.81

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Solution

The third proportional to 50,376.94 and 76,772.81 is: 116,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,376.94 : 76,772.81 = 76,772.81 : x
  2. Step 2: Convert to fraction form
    50,376.94/76,772.81 = 76,772.81/x
  3. Step 3: Cross multiply
    50,376.94x = 76,772.81 × 76,772.81
  4. Step 4: Simplify right side
    50,376.94x = 5,894,064,739.16
  5. Step 5: Solve for x
    x = 5,894,064,739.16/50,376.94
  6. Step 6: Final answer
    x = 116,999.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.