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Finding the Third Proportional to 76,682 and 171,220

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Solution

The third proportional to 76,682 and 171,220 is: 382,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682 : 171,220 = 171,220 : x
  2. Step 2: Convert to fraction form
    76,682/171,220 = 171,220/x
  3. Step 3: Cross multiply
    76,682x = 171,220 × 171,220
  4. Step 4: Simplify right side
    76,682x = 29,316,288,400
  5. Step 5: Solve for x
    x = 29,316,288,400/76,682
  6. Step 6: Final answer
    x = 382,309.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.