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Finding the Third Proportional to 57,408.50 and 90,513.75

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Solution

The third proportional to 57,408.50 and 90,513.75 is: 142,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,408.50 : 90,513.75 = 90,513.75 : x
  2. Step 2: Convert to fraction form
    57,408.50/90,513.75 = 90,513.75/x
  3. Step 3: Cross multiply
    57,408.50x = 90,513.75 × 90,513.75
  4. Step 4: Simplify right side
    57,408.50x = 8,192,738,939.06
  5. Step 5: Solve for x
    x = 8,192,738,939.06/57,408.50
  6. Step 6: Final answer
    x = 142,709.51

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.