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Finding the Third Proportional to 66,936 and 100,412

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Solution

The third proportional to 66,936 and 100,412 is: 150,630.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,936 : 100,412 = 100,412 : x
  2. Step 2: Convert to fraction form
    66,936/100,412 = 100,412/x
  3. Step 3: Cross multiply
    66,936x = 100,412 × 100,412
  4. Step 4: Simplify right side
    66,936x = 10,082,569,744
  5. Step 5: Solve for x
    x = 10,082,569,744/66,936
  6. Step 6: Final answer
    x = 150,630.00

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Why These Related Problems?

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