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Finding the Third Proportional to 102,811 and 237,993

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Solution

The third proportional to 102,811 and 237,993 is: 550,920.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,811 : 237,993 = 237,993 : x
  2. Step 2: Convert to fraction form
    102,811/237,993 = 237,993/x
  3. Step 3: Cross multiply
    102,811x = 237,993 × 237,993
  4. Step 4: Simplify right side
    102,811x = 56,640,668,049
  5. Step 5: Solve for x
    x = 56,640,668,049/102,811
  6. Step 6: Final answer
    x = 550,920.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.