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Finding the Third Proportional to 55,242.75 and 84,471.75

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Solution

The third proportional to 55,242.75 and 84,471.75 is: 129,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.75 : 84,471.75 = 84,471.75 : x
  2. Step 2: Convert to fraction form
    55,242.75/84,471.75 = 84,471.75/x
  3. Step 3: Cross multiply
    55,242.75x = 84,471.75 × 84,471.75
  4. Step 4: Simplify right side
    55,242.75x = 7,135,476,548.06
  5. Step 5: Solve for x
    x = 7,135,476,548.06/55,242.75
  6. Step 6: Final answer
    x = 129,165.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.