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Finding the Third Proportional to 71,826 and 154,236

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Solution

The third proportional to 71,826 and 154,236 is: 331,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,826 : 154,236 = 154,236 : x
  2. Step 2: Convert to fraction form
    71,826/154,236 = 154,236/x
  3. Step 3: Cross multiply
    71,826x = 154,236 × 154,236
  4. Step 4: Simplify right side
    71,826x = 23,788,743,696
  5. Step 5: Solve for x
    x = 23,788,743,696/71,826
  6. Step 6: Final answer
    x = 331,199.62

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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.