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Finding the Third Proportional to 80,673 and 175,143

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Solution

The third proportional to 80,673 and 175,143 is: 380,239.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,673 : 175,143 = 175,143 : x
  2. Step 2: Convert to fraction form
    80,673/175,143 = 175,143/x
  3. Step 3: Cross multiply
    80,673x = 175,143 × 175,143
  4. Step 4: Simplify right side
    80,673x = 30,675,070,449
  5. Step 5: Solve for x
    x = 30,675,070,449/80,673
  6. Step 6: Final answer
    x = 380,239.61

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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.