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Finding the Third Proportional to 109,366.50 and 139,749

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Solution

The third proportional to 109,366.50 and 139,749 is: 178,571.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,366.50 : 139,749 = 139,749 : x
  2. Step 2: Convert to fraction form
    109,366.50/139,749 = 139,749/x
  3. Step 3: Cross multiply
    109,366.50x = 139,749 × 139,749
  4. Step 4: Simplify right side
    109,366.50x = 19,529,783,001
  5. Step 5: Solve for x
    x = 19,529,783,001/109,366.50
  6. Step 6: Final answer
    x = 178,571.89

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.