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Finding the Third Proportional to 64,081.50 and 140,505

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Solution

The third proportional to 64,081.50 and 140,505 is: 308,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,081.50 : 140,505 = 140,505 : x
  2. Step 2: Convert to fraction form
    64,081.50/140,505 = 140,505/x
  3. Step 3: Cross multiply
    64,081.50x = 140,505 × 140,505
  4. Step 4: Simplify right side
    64,081.50x = 19,741,655,025
  5. Step 5: Solve for x
    x = 19,741,655,025/64,081.50
  6. Step 6: Final answer
    x = 308,071.05

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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.