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Finding the Third Proportional to 31,899 and 69,954

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Solution

The third proportional to 31,899 and 69,954 is: 153,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899 : 69,954 = 69,954 : x
  2. Step 2: Convert to fraction form
    31,899/69,954 = 69,954/x
  3. Step 3: Cross multiply
    31,899x = 69,954 × 69,954
  4. Step 4: Simplify right side
    31,899x = 4,893,562,116
  5. Step 5: Solve for x
    x = 4,893,562,116/31,899
  6. Step 6: Final answer
    x = 153,408.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.