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Finding the Third Proportional to 87,777 and 171,175

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Solution

The third proportional to 87,777 and 171,175 is: 333,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,777 : 171,175 = 171,175 : x
  2. Step 2: Convert to fraction form
    87,777/171,175 = 171,175/x
  3. Step 3: Cross multiply
    87,777x = 171,175 × 171,175
  4. Step 4: Simplify right side
    87,777x = 29,300,880,625
  5. Step 5: Solve for x
    x = 29,300,880,625/87,777
  6. Step 6: Final answer
    x = 333,810.46

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.