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Finding the Third Proportional to 57,334.50 and 121,635

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Solution

The third proportional to 57,334.50 and 121,635 is: 258,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,334.50 : 121,635 = 121,635 : x
  2. Step 2: Convert to fraction form
    57,334.50/121,635 = 121,635/x
  3. Step 3: Cross multiply
    57,334.50x = 121,635 × 121,635
  4. Step 4: Simplify right side
    57,334.50x = 14,795,073,225
  5. Step 5: Solve for x
    x = 14,795,073,225/57,334.50
  6. Step 6: Final answer
    x = 258,048.35

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.