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Finding the Third Proportional to 80,090 and 167,740

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Solution

The third proportional to 80,090 and 167,740 is: 351,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,090 : 167,740 = 167,740 : x
  2. Step 2: Convert to fraction form
    80,090/167,740 = 167,740/x
  3. Step 3: Cross multiply
    80,090x = 167,740 × 167,740
  4. Step 4: Simplify right side
    80,090x = 28,136,707,600
  5. Step 5: Solve for x
    x = 28,136,707,600/80,090
  6. Step 6: Final answer
    x = 351,313.62

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.