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Finding the Third Proportional to 96,133.50 and 149,238.75

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Solution

The third proportional to 96,133.50 and 149,238.75 is: 231,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,133.50 : 149,238.75 = 149,238.75 : x
  2. Step 2: Convert to fraction form
    96,133.50/149,238.75 = 149,238.75/x
  3. Step 3: Cross multiply
    96,133.50x = 149,238.75 × 149,238.75
  4. Step 4: Simplify right side
    96,133.50x = 22,272,204,501.56
  5. Step 5: Solve for x
    x = 22,272,204,501.56/96,133.50
  6. Step 6: Final answer
    x = 231,679.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.