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Finding the Third Proportional to 57,288.94 and 135,453.94

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Solution

The third proportional to 57,288.94 and 135,453.94 is: 320,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288.94 : 135,453.94 = 135,453.94 : x
  2. Step 2: Convert to fraction form
    57,288.94/135,453.94 = 135,453.94/x
  3. Step 3: Cross multiply
    57,288.94x = 135,453.94 × 135,453.94
  4. Step 4: Simplify right side
    57,288.94x = 18,347,769,184.25
  5. Step 5: Solve for x
    x = 18,347,769,184.25/57,288.94
  6. Step 6: Final answer
    x = 320,267.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.