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Finding the Third Proportional to 74,371.50 and 154,912.50

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Solution

The third proportional to 74,371.50 and 154,912.50 is: 322,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,371.50 : 154,912.50 = 154,912.50 : x
  2. Step 2: Convert to fraction form
    74,371.50/154,912.50 = 154,912.50/x
  3. Step 3: Cross multiply
    74,371.50x = 154,912.50 × 154,912.50
  4. Step 4: Simplify right side
    74,371.50x = 23,997,882,656.25
  5. Step 5: Solve for x
    x = 23,997,882,656.25/74,371.50
  6. Step 6: Final answer
    x = 322,675.79

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.