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Finding the Third Proportional to 66,636 and 140,756

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Solution

The third proportional to 66,636 and 140,756 is: 297,320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,636 : 140,756 = 140,756 : x
  2. Step 2: Convert to fraction form
    66,636/140,756 = 140,756/x
  3. Step 3: Cross multiply
    66,636x = 140,756 × 140,756
  4. Step 4: Simplify right side
    66,636x = 19,812,251,536
  5. Step 5: Solve for x
    x = 19,812,251,536/66,636
  6. Step 6: Final answer
    x = 297,320.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.