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Finding the Third Proportional to 81,856.50 and 175,673

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Solution

The third proportional to 81,856.50 and 175,673 is: 377,013.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,856.50 : 175,673 = 175,673 : x
  2. Step 2: Convert to fraction form
    81,856.50/175,673 = 175,673/x
  3. Step 3: Cross multiply
    81,856.50x = 175,673 × 175,673
  4. Step 4: Simplify right side
    81,856.50x = 30,861,002,929
  5. Step 5: Solve for x
    x = 30,861,002,929/81,856.50
  6. Step 6: Final answer
    x = 377,013.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.