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Finding the Third Proportional to 31,041 and 69,108

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Solution

The third proportional to 31,041 and 69,108 is: 153,858.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,041 : 69,108 = 69,108 : x
  2. Step 2: Convert to fraction form
    31,041/69,108 = 69,108/x
  3. Step 3: Cross multiply
    31,041x = 69,108 × 69,108
  4. Step 4: Simplify right side
    31,041x = 4,775,915,664
  5. Step 5: Solve for x
    x = 4,775,915,664/31,041
  6. Step 6: Final answer
    x = 153,858.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.