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Finding the Third Proportional to 34,619 and 75,314

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Solution

The third proportional to 34,619 and 75,314 is: 163,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,619 : 75,314 = 75,314 : x
  2. Step 2: Convert to fraction form
    34,619/75,314 = 75,314/x
  3. Step 3: Cross multiply
    34,619x = 75,314 × 75,314
  4. Step 4: Simplify right side
    34,619x = 5,672,198,596
  5. Step 5: Solve for x
    x = 5,672,198,596/34,619
  6. Step 6: Final answer
    x = 163,846.40

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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.