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Finding the Third Proportional to 71,812 and 154,286

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Solution

The third proportional to 71,812 and 154,286 is: 331,479.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812 : 154,286 = 154,286 : x
  2. Step 2: Convert to fraction form
    71,812/154,286 = 154,286/x
  3. Step 3: Cross multiply
    71,812x = 154,286 × 154,286
  4. Step 4: Simplify right side
    71,812x = 23,804,169,796
  5. Step 5: Solve for x
    x = 23,804,169,796/71,812
  6. Step 6: Final answer
    x = 331,479.00

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