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Finding the Third Proportional to 81,467 and 173,689

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Solution

The third proportional to 81,467 and 173,689 is: 370,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,467 : 173,689 = 173,689 : x
  2. Step 2: Convert to fraction form
    81,467/173,689 = 173,689/x
  3. Step 3: Cross multiply
    81,467x = 173,689 × 173,689
  4. Step 4: Simplify right side
    81,467x = 30,167,868,721
  5. Step 5: Solve for x
    x = 30,167,868,721/81,467
  6. Step 6: Final answer
    x = 370,307.84

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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.