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Finding the Third Proportional to 77,934 and 170,450

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Solution

The third proportional to 77,934 and 170,450 is: 372,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934 : 170,450 = 170,450 : x
  2. Step 2: Convert to fraction form
    77,934/170,450 = 170,450/x
  3. Step 3: Cross multiply
    77,934x = 170,450 × 170,450
  4. Step 4: Simplify right side
    77,934x = 29,053,202,500
  5. Step 5: Solve for x
    x = 29,053,202,500/77,934
  6. Step 6: Final answer
    x = 372,792.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.