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Finding the Third Proportional to 80,173.88 and 174,009.75

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Solution

The third proportional to 80,173.88 and 174,009.75 is: 377,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,173.88 : 174,009.75 = 174,009.75 : x
  2. Step 2: Convert to fraction form
    80,173.88/174,009.75 = 174,009.75/x
  3. Step 3: Cross multiply
    80,173.88x = 174,009.75 × 174,009.75
  4. Step 4: Simplify right side
    80,173.88x = 30,279,393,095.06
  5. Step 5: Solve for x
    x = 30,279,393,095.06/80,173.88
  6. Step 6: Final answer
    x = 377,671.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.