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Finding the Third Proportional to 34,674 and 70,992

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Solution

The third proportional to 34,674 and 70,992 is: 145,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,674 : 70,992 = 70,992 : x
  2. Step 2: Convert to fraction form
    34,674/70,992 = 70,992/x
  3. Step 3: Cross multiply
    34,674x = 70,992 × 70,992
  4. Step 4: Simplify right side
    34,674x = 5,039,864,064
  5. Step 5: Solve for x
    x = 5,039,864,064/34,674
  6. Step 6: Final answer
    x = 145,349.95

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.