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Finding the Third Proportional to 50,384.53 and 76,143.80

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Solution

The third proportional to 50,384.53 and 76,143.80 is: 115,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.53 : 76,143.80 = 76,143.80 : x
  2. Step 2: Convert to fraction form
    50,384.53/76,143.80 = 76,143.80/x
  3. Step 3: Cross multiply
    50,384.53x = 76,143.80 × 76,143.80
  4. Step 4: Simplify right side
    50,384.53x = 5,797,877,802.54
  5. Step 5: Solve for x
    x = 5,797,877,802.54/50,384.53
  6. Step 6: Final answer
    x = 115,072.58

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