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Finding the Third Proportional to 51,860 and 111,088

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Solution

The third proportional to 51,860 and 111,088 is: 237,958.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,860 : 111,088 = 111,088 : x
  2. Step 2: Convert to fraction form
    51,860/111,088 = 111,088/x
  3. Step 3: Cross multiply
    51,860x = 111,088 × 111,088
  4. Step 4: Simplify right side
    51,860x = 12,340,543,744
  5. Step 5: Solve for x
    x = 12,340,543,744/51,860
  6. Step 6: Final answer
    x = 237,958.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.