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Finding the Third Proportional to 82,107.50 and 176,876

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Solution

The third proportional to 82,107.50 and 176,876 is: 381,026.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,107.50 : 176,876 = 176,876 : x
  2. Step 2: Convert to fraction form
    82,107.50/176,876 = 176,876/x
  3. Step 3: Cross multiply
    82,107.50x = 176,876 × 176,876
  4. Step 4: Simplify right side
    82,107.50x = 31,285,119,376
  5. Step 5: Solve for x
    x = 31,285,119,376/82,107.50
  6. Step 6: Final answer
    x = 381,026.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.