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Finding the Third Proportional to 81,354 and 175,867

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Solution

The third proportional to 81,354 and 175,867 is: 380,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,354 : 175,867 = 175,867 : x
  2. Step 2: Convert to fraction form
    81,354/175,867 = 175,867/x
  3. Step 3: Cross multiply
    81,354x = 175,867 × 175,867
  4. Step 4: Simplify right side
    81,354x = 30,929,201,689
  5. Step 5: Solve for x
    x = 30,929,201,689/81,354
  6. Step 6: Final answer
    x = 380,180.47

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Why These Related Problems?

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