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Finding the Third Proportional to 65,559.50 and 143,755

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Solution

The third proportional to 65,559.50 and 143,755 is: 315,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,559.50 : 143,755 = 143,755 : x
  2. Step 2: Convert to fraction form
    65,559.50/143,755 = 143,755/x
  3. Step 3: Cross multiply
    65,559.50x = 143,755 × 143,755
  4. Step 4: Simplify right side
    65,559.50x = 20,665,500,025
  5. Step 5: Solve for x
    x = 20,665,500,025/65,559.50
  6. Step 6: Final answer
    x = 315,217.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.