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Finding the Third Proportional to 81,942 and 125,100

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Solution

The third proportional to 81,942 and 125,100 is: 190,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,942 : 125,100 = 125,100 : x
  2. Step 2: Convert to fraction form
    81,942/125,100 = 125,100/x
  3. Step 3: Cross multiply
    81,942x = 125,100 × 125,100
  4. Step 4: Simplify right side
    81,942x = 15,650,010,000
  5. Step 5: Solve for x
    x = 15,650,010,000/81,942
  6. Step 6: Final answer
    x = 190,988.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.