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Finding the Third Proportional to 67,302 and 100,890

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Solution

The third proportional to 67,302 and 100,890 is: 151,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,302 : 100,890 = 100,890 : x
  2. Step 2: Convert to fraction form
    67,302/100,890 = 100,890/x
  3. Step 3: Cross multiply
    67,302x = 100,890 × 100,890
  4. Step 4: Simplify right side
    67,302x = 10,178,792,100
  5. Step 5: Solve for x
    x = 10,178,792,100/67,302
  6. Step 6: Final answer
    x = 151,240.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.