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Finding the Third Proportional to 72,735.75 and 115,668

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Solution

The third proportional to 72,735.75 and 115,668 is: 183,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,735.75 : 115,668 = 115,668 : x
  2. Step 2: Convert to fraction form
    72,735.75/115,668 = 115,668/x
  3. Step 3: Cross multiply
    72,735.75x = 115,668 × 115,668
  4. Step 4: Simplify right side
    72,735.75x = 13,379,086,224
  5. Step 5: Solve for x
    x = 13,379,086,224/72,735.75
  6. Step 6: Final answer
    x = 183,940.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.