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Finding the Third Proportional to 91,736 and 140,339.75

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Solution

The third proportional to 91,736 and 140,339.75 is: 214,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,736 : 140,339.75 = 140,339.75 : x
  2. Step 2: Convert to fraction form
    91,736/140,339.75 = 140,339.75/x
  3. Step 3: Cross multiply
    91,736x = 140,339.75 × 140,339.75
  4. Step 4: Simplify right side
    91,736x = 19,695,245,430.06
  5. Step 5: Solve for x
    x = 19,695,245,430.06/91,736
  6. Step 6: Final answer
    x = 214,694.84

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.