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Finding the Third Proportional to 36,810 and 80,164

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Solution

The third proportional to 36,810 and 80,164 is: 174,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,810 : 80,164 = 80,164 : x
  2. Step 2: Convert to fraction form
    36,810/80,164 = 80,164/x
  3. Step 3: Cross multiply
    36,810x = 80,164 × 80,164
  4. Step 4: Simplify right side
    36,810x = 6,426,266,896
  5. Step 5: Solve for x
    x = 6,426,266,896/36,810
  6. Step 6: Final answer
    x = 174,579.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.