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Finding the Third Proportional to 51,840.50 and 76,105.50

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Solution

The third proportional to 51,840.50 and 76,105.50 is: 111,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.50 : 76,105.50 = 76,105.50 : x
  2. Step 2: Convert to fraction form
    51,840.50/76,105.50 = 76,105.50/x
  3. Step 3: Cross multiply
    51,840.50x = 76,105.50 × 76,105.50
  4. Step 4: Simplify right side
    51,840.50x = 5,792,047,130.25
  5. Step 5: Solve for x
    x = 5,792,047,130.25/51,840.50
  6. Step 6: Final answer
    x = 111,728.23

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.