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Finding the Third Proportional to 49,255 and 105,062

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Solution

The third proportional to 49,255 and 105,062 is: 224,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,255 : 105,062 = 105,062 : x
  2. Step 2: Convert to fraction form
    49,255/105,062 = 105,062/x
  3. Step 3: Cross multiply
    49,255x = 105,062 × 105,062
  4. Step 4: Simplify right side
    49,255x = 11,038,023,844
  5. Step 5: Solve for x
    x = 11,038,023,844/49,255
  6. Step 6: Final answer
    x = 224,099.56

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.