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Finding the Third Proportional to 81,344 and 173,056

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Solution

The third proportional to 81,344 and 173,056 is: 368,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,344 : 173,056 = 173,056 : x
  2. Step 2: Convert to fraction form
    81,344/173,056 = 173,056/x
  3. Step 3: Cross multiply
    81,344x = 173,056 × 173,056
  4. Step 4: Simplify right side
    81,344x = 29,948,379,136
  5. Step 5: Solve for x
    x = 29,948,379,136/81,344
  6. Step 6: Final answer
    x = 368,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.