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Finding the Third Proportional to 71,661.75 and 151,866

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Solution

The third proportional to 71,661.75 and 151,866 is: 321,835.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,661.75 : 151,866 = 151,866 : x
  2. Step 2: Convert to fraction form
    71,661.75/151,866 = 151,866/x
  3. Step 3: Cross multiply
    71,661.75x = 151,866 × 151,866
  4. Step 4: Simplify right side
    71,661.75x = 23,063,281,956
  5. Step 5: Solve for x
    x = 23,063,281,956/71,661.75
  6. Step 6: Final answer
    x = 321,835.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.