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Finding the Third Proportional to 81,336 and 173,040

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Solution

The third proportional to 81,336 and 173,040 is: 368,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,336 : 173,040 = 173,040 : x
  2. Step 2: Convert to fraction form
    81,336/173,040 = 173,040/x
  3. Step 3: Cross multiply
    81,336x = 173,040 × 173,040
  4. Step 4: Simplify right side
    81,336x = 29,942,841,600
  5. Step 5: Solve for x
    x = 29,942,841,600/81,336
  6. Step 6: Final answer
    x = 368,137.62

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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.