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Finding the Third Proportional to 72,687.50 and 154,181.50

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Solution

The third proportional to 72,687.50 and 154,181.50 is: 327,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,687.50 : 154,181.50 = 154,181.50 : x
  2. Step 2: Convert to fraction form
    72,687.50/154,181.50 = 154,181.50/x
  3. Step 3: Cross multiply
    72,687.50x = 154,181.50 × 154,181.50
  4. Step 4: Simplify right side
    72,687.50x = 23,771,934,942.25
  5. Step 5: Solve for x
    x = 23,771,934,942.25/72,687.50
  6. Step 6: Final answer
    x = 327,042.96

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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.