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Finding the Third Proportional to 57,241.69 and 102,181.50

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Solution

The third proportional to 57,241.69 and 102,181.50 is: 182,403.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241.69 : 102,181.50 = 102,181.50 : x
  2. Step 2: Convert to fraction form
    57,241.69/102,181.50 = 102,181.50/x
  3. Step 3: Cross multiply
    57,241.69x = 102,181.50 × 102,181.50
  4. Step 4: Simplify right side
    57,241.69x = 10,441,058,942.25
  5. Step 5: Solve for x
    x = 10,441,058,942.25/57,241.69
  6. Step 6: Final answer
    x = 182,403.06

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.