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Finding the Third Proportional to 49,517 and 106,925

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Solution

The third proportional to 49,517 and 106,925 is: 230,889.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,517 : 106,925 = 106,925 : x
  2. Step 2: Convert to fraction form
    49,517/106,925 = 106,925/x
  3. Step 3: Cross multiply
    49,517x = 106,925 × 106,925
  4. Step 4: Simplify right side
    49,517x = 11,432,955,625
  5. Step 5: Solve for x
    x = 11,432,955,625/49,517
  6. Step 6: Final answer
    x = 230,889.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.