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Finding the Third Proportional to 80,136 and 171,389.25

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Solution

The third proportional to 80,136 and 171,389.25 is: 366,555.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,136 : 171,389.25 = 171,389.25 : x
  2. Step 2: Convert to fraction form
    80,136/171,389.25 = 171,389.25/x
  3. Step 3: Cross multiply
    80,136x = 171,389.25 × 171,389.25
  4. Step 4: Simplify right side
    80,136x = 29,374,275,015.56
  5. Step 5: Solve for x
    x = 29,374,275,015.56/80,136
  6. Step 6: Final answer
    x = 366,555.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.