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Finding the Third Proportional to 41,170 and 87,660

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Solution

The third proportional to 41,170 and 87,660 is: 186,647.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,170 : 87,660 = 87,660 : x
  2. Step 2: Convert to fraction form
    41,170/87,660 = 87,660/x
  3. Step 3: Cross multiply
    41,170x = 87,660 × 87,660
  4. Step 4: Simplify right side
    41,170x = 7,684,275,600
  5. Step 5: Solve for x
    x = 7,684,275,600/41,170
  6. Step 6: Final answer
    x = 186,647.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.