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Finding the Third Proportional to 51,214.50 and 111,177

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Solution

The third proportional to 51,214.50 and 111,177 is: 241,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214.50 : 111,177 = 111,177 : x
  2. Step 2: Convert to fraction form
    51,214.50/111,177 = 111,177/x
  3. Step 3: Cross multiply
    51,214.50x = 111,177 × 111,177
  4. Step 4: Simplify right side
    51,214.50x = 12,360,325,329
  5. Step 5: Solve for x
    x = 12,360,325,329/51,214.50
  6. Step 6: Final answer
    x = 241,344.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.