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Finding the Third Proportional to 75,680.44 and 171,021.38

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Solution

The third proportional to 75,680.44 and 171,021.38 is: 386,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,680.44 : 171,021.38 = 171,021.38 : x
  2. Step 2: Convert to fraction form
    75,680.44/171,021.38 = 171,021.38/x
  3. Step 3: Cross multiply
    75,680.44x = 171,021.38 × 171,021.38
  4. Step 4: Simplify right side
    75,680.44x = 29,248,310,706.89
  5. Step 5: Solve for x
    x = 29,248,310,706.89/75,680.44
  6. Step 6: Final answer
    x = 386,471.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.