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Finding the Third Proportional to 49,912 and 72,916

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Solution

The third proportional to 49,912 and 72,916 is: 106,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,912 : 72,916 = 72,916 : x
  2. Step 2: Convert to fraction form
    49,912/72,916 = 72,916/x
  3. Step 3: Cross multiply
    49,912x = 72,916 × 72,916
  4. Step 4: Simplify right side
    49,912x = 5,316,743,056
  5. Step 5: Solve for x
    x = 5,316,743,056/49,912
  6. Step 6: Final answer
    x = 106,522.34

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.