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Finding the Third Proportional to 80,725.50 and 177,003

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Solution

The third proportional to 80,725.50 and 177,003 is: 388,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,725.50 : 177,003 = 177,003 : x
  2. Step 2: Convert to fraction form
    80,725.50/177,003 = 177,003/x
  3. Step 3: Cross multiply
    80,725.50x = 177,003 × 177,003
  4. Step 4: Simplify right side
    80,725.50x = 31,330,062,009
  5. Step 5: Solve for x
    x = 31,330,062,009/80,725.50
  6. Step 6: Final answer
    x = 388,106.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.