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Finding the Third Proportional to 50,378 and 70,622

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Solution

The third proportional to 50,378 and 70,622 is: 99,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378 : 70,622 = 70,622 : x
  2. Step 2: Convert to fraction form
    50,378/70,622 = 70,622/x
  3. Step 3: Cross multiply
    50,378x = 70,622 × 70,622
  4. Step 4: Simplify right side
    50,378x = 4,987,466,884
  5. Step 5: Solve for x
    x = 4,987,466,884/50,378
  6. Step 6: Final answer
    x = 99,000.89

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.