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Finding the Third Proportional to 51,884.50 and 76,105

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Solution

The third proportional to 51,884.50 and 76,105 is: 111,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884.50 : 76,105 = 76,105 : x
  2. Step 2: Convert to fraction form
    51,884.50/76,105 = 76,105/x
  3. Step 3: Cross multiply
    51,884.50x = 76,105 × 76,105
  4. Step 4: Simplify right side
    51,884.50x = 5,791,971,025
  5. Step 5: Solve for x
    x = 5,791,971,025/51,884.50
  6. Step 6: Final answer
    x = 111,632.01

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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.