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Finding the Third Proportional to 83,026.50 and 177,867

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Solution

The third proportional to 83,026.50 and 177,867 is: 381,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,026.50 : 177,867 = 177,867 : x
  2. Step 2: Convert to fraction form
    83,026.50/177,867 = 177,867/x
  3. Step 3: Cross multiply
    83,026.50x = 177,867 × 177,867
  4. Step 4: Simplify right side
    83,026.50x = 31,636,669,689
  5. Step 5: Solve for x
    x = 31,636,669,689/83,026.50
  6. Step 6: Final answer
    x = 381,043.04

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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.