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Finding the Third Proportional to 80,374.75 and 175,036

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Solution

The third proportional to 80,374.75 and 175,036 is: 381,184.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,374.75 : 175,036 = 175,036 : x
  2. Step 2: Convert to fraction form
    80,374.75/175,036 = 175,036/x
  3. Step 3: Cross multiply
    80,374.75x = 175,036 × 175,036
  4. Step 4: Simplify right side
    80,374.75x = 30,637,601,296
  5. Step 5: Solve for x
    x = 30,637,601,296/80,374.75
  6. Step 6: Final answer
    x = 381,184.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.