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Finding the Third Proportional to 75,660 and 179,175

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Solution

The third proportional to 75,660 and 179,175 is: 424,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,660 : 179,175 = 179,175 : x
  2. Step 2: Convert to fraction form
    75,660/179,175 = 179,175/x
  3. Step 3: Cross multiply
    75,660x = 179,175 × 179,175
  4. Step 4: Simplify right side
    75,660x = 32,103,680,625
  5. Step 5: Solve for x
    x = 32,103,680,625/75,660
  6. Step 6: Final answer
    x = 424,315.10

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.