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Finding the Third Proportional to 66,882 and 100,890

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Solution

The third proportional to 66,882 and 100,890 is: 152,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,882 : 100,890 = 100,890 : x
  2. Step 2: Convert to fraction form
    66,882/100,890 = 100,890/x
  3. Step 3: Cross multiply
    66,882x = 100,890 × 100,890
  4. Step 4: Simplify right side
    66,882x = 10,178,792,100
  5. Step 5: Solve for x
    x = 10,178,792,100/66,882
  6. Step 6: Final answer
    x = 152,190.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.