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Finding the Third Proportional to 65,839.50 and 145,914.75

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Solution

The third proportional to 65,839.50 and 145,914.75 is: 323,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,839.50 : 145,914.75 = 145,914.75 : x
  2. Step 2: Convert to fraction form
    65,839.50/145,914.75 = 145,914.75/x
  3. Step 3: Cross multiply
    65,839.50x = 145,914.75 × 145,914.75
  4. Step 4: Simplify right side
    65,839.50x = 21,291,114,267.56
  5. Step 5: Solve for x
    x = 21,291,114,267.56/65,839.50
  6. Step 6: Final answer
    x = 323,379.04

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.