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Finding the Third Proportional to 80,886 and 173,481

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Solution

The third proportional to 80,886 and 173,481 is: 372,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,886 : 173,481 = 173,481 : x
  2. Step 2: Convert to fraction form
    80,886/173,481 = 173,481/x
  3. Step 3: Cross multiply
    80,886x = 173,481 × 173,481
  4. Step 4: Simplify right side
    80,886x = 30,095,657,361
  5. Step 5: Solve for x
    x = 30,095,657,361/80,886
  6. Step 6: Final answer
    x = 372,074.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.