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Finding the Third Proportional to 49,608 and 76,728

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Solution

The third proportional to 49,608 and 76,728 is: 118,674.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,608 : 76,728 = 76,728 : x
  2. Step 2: Convert to fraction form
    49,608/76,728 = 76,728/x
  3. Step 3: Cross multiply
    49,608x = 76,728 × 76,728
  4. Step 4: Simplify right side
    49,608x = 5,887,185,984
  5. Step 5: Solve for x
    x = 5,887,185,984/49,608
  6. Step 6: Final answer
    x = 118,674.12

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.