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Finding the Third Proportional to 53,333.44 and 80,215.31

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Solution

The third proportional to 53,333.44 and 80,215.31 is: 120,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,333.44 : 80,215.31 = 80,215.31 : x
  2. Step 2: Convert to fraction form
    53,333.44/80,215.31 = 80,215.31/x
  3. Step 3: Cross multiply
    53,333.44x = 80,215.31 × 80,215.31
  4. Step 4: Simplify right side
    53,333.44x = 6,434,496,359.47
  5. Step 5: Solve for x
    x = 6,434,496,359.47/53,333.44
  6. Step 6: Final answer
    x = 120,646.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.