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Finding the Third Proportional to 80,833.50 and 174,573

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Solution

The third proportional to 80,833.50 and 174,573 is: 377,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,833.50 : 174,573 = 174,573 : x
  2. Step 2: Convert to fraction form
    80,833.50/174,573 = 174,573/x
  3. Step 3: Cross multiply
    80,833.50x = 174,573 × 174,573
  4. Step 4: Simplify right side
    80,833.50x = 30,475,732,329
  5. Step 5: Solve for x
    x = 30,475,732,329/80,833.50
  6. Step 6: Final answer
    x = 377,018.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.