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Finding the Third Proportional to 57,736 and 90,250

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Solution

The third proportional to 57,736 and 90,250 is: 141,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,736 : 90,250 = 90,250 : x
  2. Step 2: Convert to fraction form
    57,736/90,250 = 90,250/x
  3. Step 3: Cross multiply
    57,736x = 90,250 × 90,250
  4. Step 4: Simplify right side
    57,736x = 8,145,062,500
  5. Step 5: Solve for x
    x = 8,145,062,500/57,736
  6. Step 6: Final answer
    x = 141,074.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.