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Finding the Third Proportional to 49,062 and 105,900

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Solution

The third proportional to 49,062 and 105,900 is: 228,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,062 : 105,900 = 105,900 : x
  2. Step 2: Convert to fraction form
    49,062/105,900 = 105,900/x
  3. Step 3: Cross multiply
    49,062x = 105,900 × 105,900
  4. Step 4: Simplify right side
    49,062x = 11,214,810,000
  5. Step 5: Solve for x
    x = 11,214,810,000/49,062
  6. Step 6: Final answer
    x = 228,584.44

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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.