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Finding the Third Proportional to 49,911 and 73,406

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Solution

The third proportional to 49,911 and 73,406 is: 107,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,911 : 73,406 = 73,406 : x
  2. Step 2: Convert to fraction form
    49,911/73,406 = 73,406/x
  3. Step 3: Cross multiply
    49,911x = 73,406 × 73,406
  4. Step 4: Simplify right side
    49,911x = 5,388,440,836
  5. Step 5: Solve for x
    x = 5,388,440,836/49,911
  6. Step 6: Final answer
    x = 107,960.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.