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Finding the Third Proportional to 30,816 and 67,194

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Solution

The third proportional to 30,816 and 67,194 is: 146,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816 : 67,194 = 67,194 : x
  2. Step 2: Convert to fraction form
    30,816/67,194 = 67,194/x
  3. Step 3: Cross multiply
    30,816x = 67,194 × 67,194
  4. Step 4: Simplify right side
    30,816x = 4,515,033,636
  5. Step 5: Solve for x
    x = 4,515,033,636/30,816
  6. Step 6: Final answer
    x = 146,515.89

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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.