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Finding the Third Proportional to 81,607.50 and 173,016

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Solution

The third proportional to 81,607.50 and 173,016 is: 366,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607.50 : 173,016 = 173,016 : x
  2. Step 2: Convert to fraction form
    81,607.50/173,016 = 173,016/x
  3. Step 3: Cross multiply
    81,607.50x = 173,016 × 173,016
  4. Step 4: Simplify right side
    81,607.50x = 29,934,536,256
  5. Step 5: Solve for x
    x = 29,934,536,256/81,607.50
  6. Step 6: Final answer
    x = 366,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.