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Finding the Third Proportional to 49,607 and 104,065

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Solution

The third proportional to 49,607 and 104,065 is: 218,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,607 : 104,065 = 104,065 : x
  2. Step 2: Convert to fraction form
    49,607/104,065 = 104,065/x
  3. Step 3: Cross multiply
    49,607x = 104,065 × 104,065
  4. Step 4: Simplify right side
    49,607x = 10,829,524,225
  5. Step 5: Solve for x
    x = 10,829,524,225/49,607
  6. Step 6: Final answer
    x = 218,306.37

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.