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Finding the Third Proportional to 129,612 and 165,622

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Solution

The third proportional to 129,612 and 165,622 is: 211,636.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,612 : 165,622 = 165,622 : x
  2. Step 2: Convert to fraction form
    129,612/165,622 = 165,622/x
  3. Step 3: Cross multiply
    129,612x = 165,622 × 165,622
  4. Step 4: Simplify right side
    129,612x = 27,430,646,884
  5. Step 5: Solve for x
    x = 27,430,646,884/129,612
  6. Step 6: Final answer
    x = 211,636.63

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.