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Finding the Third Proportional to 31,883 and 68,104

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Solution

The third proportional to 31,883 and 68,104 is: 145,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,883 : 68,104 = 68,104 : x
  2. Step 2: Convert to fraction form
    31,883/68,104 = 68,104/x
  3. Step 3: Cross multiply
    31,883x = 68,104 × 68,104
  4. Step 4: Simplify right side
    31,883x = 4,638,154,816
  5. Step 5: Solve for x
    x = 4,638,154,816/31,883
  6. Step 6: Final answer
    x = 145,474.23

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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.