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Finding the Third Proportional to 57,862.50 and 87,408.75

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Solution

The third proportional to 57,862.50 and 87,408.75 is: 132,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,862.50 : 87,408.75 = 87,408.75 : x
  2. Step 2: Convert to fraction form
    57,862.50/87,408.75 = 87,408.75/x
  3. Step 3: Cross multiply
    57,862.50x = 87,408.75 × 87,408.75
  4. Step 4: Simplify right side
    57,862.50x = 7,640,289,576.56
  5. Step 5: Solve for x
    x = 7,640,289,576.56/57,862.50
  6. Step 6: Final answer
    x = 132,042.16

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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.