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Finding the Third Proportional to 82,352 and 167,612

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Solution

The third proportional to 82,352 and 167,612 is: 341,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,352 : 167,612 = 167,612 : x
  2. Step 2: Convert to fraction form
    82,352/167,612 = 167,612/x
  3. Step 3: Cross multiply
    82,352x = 167,612 × 167,612
  4. Step 4: Simplify right side
    82,352x = 28,093,782,544
  5. Step 5: Solve for x
    x = 28,093,782,544/82,352
  6. Step 6: Final answer
    x = 341,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.