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Finding the Third Proportional to 43,512.19 and 75,633.75

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Solution

The third proportional to 43,512.19 and 75,633.75 is: 131,468.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,512.19 : 75,633.75 = 75,633.75 : x
  2. Step 2: Convert to fraction form
    43,512.19/75,633.75 = 75,633.75/x
  3. Step 3: Cross multiply
    43,512.19x = 75,633.75 × 75,633.75
  4. Step 4: Simplify right side
    43,512.19x = 5,720,464,139.06
  5. Step 5: Solve for x
    x = 5,720,464,139.06/43,512.19
  6. Step 6: Final answer
    x = 131,468.09

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.