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Finding the Third Proportional to 31,881 and 68,100

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Solution

The third proportional to 31,881 and 68,100 is: 145,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881 : 68,100 = 68,100 : x
  2. Step 2: Convert to fraction form
    31,881/68,100 = 68,100/x
  3. Step 3: Cross multiply
    31,881x = 68,100 × 68,100
  4. Step 4: Simplify right side
    31,881x = 4,637,610,000
  5. Step 5: Solve for x
    x = 4,637,610,000/31,881
  6. Step 6: Final answer
    x = 145,466.27

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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.