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Finding the Third Proportional to 39,151.50 and 72,012

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Solution

The third proportional to 39,151.50 and 72,012 is: 132,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,151.50 : 72,012 = 72,012 : x
  2. Step 2: Convert to fraction form
    39,151.50/72,012 = 72,012/x
  3. Step 3: Cross multiply
    39,151.50x = 72,012 × 72,012
  4. Step 4: Simplify right side
    39,151.50x = 5,185,728,144
  5. Step 5: Solve for x
    x = 5,185,728,144/39,151.50
  6. Step 6: Final answer
    x = 132,452.86

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.