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Finding the Third Proportional to 72,788 and 154,325

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Solution

The third proportional to 72,788 and 154,325 is: 327,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,788 : 154,325 = 154,325 : x
  2. Step 2: Convert to fraction form
    72,788/154,325 = 154,325/x
  3. Step 3: Cross multiply
    72,788x = 154,325 × 154,325
  4. Step 4: Simplify right side
    72,788x = 23,816,205,625
  5. Step 5: Solve for x
    x = 23,816,205,625/72,788
  6. Step 6: Final answer
    x = 327,199.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.