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Finding the Third Proportional to 57,709.50 and 87,333

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Solution

The third proportional to 57,709.50 and 87,333 is: 132,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.50 : 87,333 = 87,333 : x
  2. Step 2: Convert to fraction form
    57,709.50/87,333 = 87,333/x
  3. Step 3: Cross multiply
    57,709.50x = 87,333 × 87,333
  4. Step 4: Simplify right side
    57,709.50x = 7,627,052,889
  5. Step 5: Solve for x
    x = 7,627,052,889/57,709.50
  6. Step 6: Final answer
    x = 132,162.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.