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Finding the Third Proportional to 64,563.50 and 140,563

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Solution

The third proportional to 64,563.50 and 140,563 is: 306,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,563.50 : 140,563 = 140,563 : x
  2. Step 2: Convert to fraction form
    64,563.50/140,563 = 140,563/x
  3. Step 3: Cross multiply
    64,563.50x = 140,563 × 140,563
  4. Step 4: Simplify right side
    64,563.50x = 19,757,956,969
  5. Step 5: Solve for x
    x = 19,757,956,969/64,563.50
  6. Step 6: Final answer
    x = 306,023.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.