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Finding the Third Proportional to 53,130.94 and 80,964.84

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Solution

The third proportional to 53,130.94 and 80,964.84 is: 123,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,130.94 : 80,964.84 = 80,964.84 : x
  2. Step 2: Convert to fraction form
    53,130.94/80,964.84 = 80,964.84/x
  3. Step 3: Cross multiply
    53,130.94x = 80,964.84 × 80,964.84
  4. Step 4: Simplify right side
    53,130.94x = 6,555,305,923.46
  5. Step 5: Solve for x
    x = 6,555,305,923.46/53,130.94
  6. Step 6: Final answer
    x = 123,380.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.