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Finding the Third Proportional to 66,236 and 99,976

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Solution

The third proportional to 66,236 and 99,976 is: 150,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,236 : 99,976 = 99,976 : x
  2. Step 2: Convert to fraction form
    66,236/99,976 = 99,976/x
  3. Step 3: Cross multiply
    66,236x = 99,976 × 99,976
  4. Step 4: Simplify right side
    66,236x = 9,995,200,576
  5. Step 5: Solve for x
    x = 9,995,200,576/66,236
  6. Step 6: Final answer
    x = 150,902.84

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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.