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Finding the Third Proportional to 66,661 and 88,081

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Solution

The third proportional to 66,661 and 88,081 is: 116,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,661 : 88,081 = 88,081 : x
  2. Step 2: Convert to fraction form
    66,661/88,081 = 88,081/x
  3. Step 3: Cross multiply
    66,661x = 88,081 × 88,081
  4. Step 4: Simplify right side
    66,661x = 7,758,262,561
  5. Step 5: Solve for x
    x = 7,758,262,561/66,661
  6. Step 6: Final answer
    x = 116,383.83

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.