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Finding the Third Proportional to 80,968 and 170,738

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Solution

The third proportional to 80,968 and 170,738 is: 360,036.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,968 : 170,738 = 170,738 : x
  2. Step 2: Convert to fraction form
    80,968/170,738 = 170,738/x
  3. Step 3: Cross multiply
    80,968x = 170,738 × 170,738
  4. Step 4: Simplify right side
    80,968x = 29,151,464,644
  5. Step 5: Solve for x
    x = 29,151,464,644/80,968
  6. Step 6: Final answer
    x = 360,036.86

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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.