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Finding the Third Proportional to 49,063 and 105,898

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Solution

The third proportional to 49,063 and 105,898 is: 228,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,063 : 105,898 = 105,898 : x
  2. Step 2: Convert to fraction form
    49,063/105,898 = 105,898/x
  3. Step 3: Cross multiply
    49,063x = 105,898 × 105,898
  4. Step 4: Simplify right side
    49,063x = 11,214,386,404
  5. Step 5: Solve for x
    x = 11,214,386,404/49,063
  6. Step 6: Final answer
    x = 228,571.15

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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.