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Finding the Third Proportional to 43,142 and 88,375

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Solution

The third proportional to 43,142 and 88,375 is: 181,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142 : 88,375 = 88,375 : x
  2. Step 2: Convert to fraction form
    43,142/88,375 = 88,375/x
  3. Step 3: Cross multiply
    43,142x = 88,375 × 88,375
  4. Step 4: Simplify right side
    43,142x = 7,810,140,625
  5. Step 5: Solve for x
    x = 7,810,140,625/43,142
  6. Step 6: Final answer
    x = 181,033.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.