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Finding the Third Proportional to 76,122 and 160,450

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Solution

The third proportional to 76,122 and 160,450 is: 338,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,122 : 160,450 = 160,450 : x
  2. Step 2: Convert to fraction form
    76,122/160,450 = 160,450/x
  3. Step 3: Cross multiply
    76,122x = 160,450 × 160,450
  4. Step 4: Simplify right side
    76,122x = 25,744,202,500
  5. Step 5: Solve for x
    x = 25,744,202,500/76,122
  6. Step 6: Final answer
    x = 338,196.61

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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.