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Finding the Third Proportional to 69,139.50 and 150,793

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Solution

The third proportional to 69,139.50 and 150,793 is: 328,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139.50 : 150,793 = 150,793 : x
  2. Step 2: Convert to fraction form
    69,139.50/150,793 = 150,793/x
  3. Step 3: Cross multiply
    69,139.50x = 150,793 × 150,793
  4. Step 4: Simplify right side
    69,139.50x = 22,738,528,849
  5. Step 5: Solve for x
    x = 22,738,528,849/69,139.50
  6. Step 6: Final answer
    x = 328,878.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.