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Finding the Third Proportional to 71,299.50 and 154,915.50

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Solution

The third proportional to 71,299.50 and 154,915.50 is: 336,591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,299.50 : 154,915.50 = 154,915.50 : x
  2. Step 2: Convert to fraction form
    71,299.50/154,915.50 = 154,915.50/x
  3. Step 3: Cross multiply
    71,299.50x = 154,915.50 × 154,915.50
  4. Step 4: Simplify right side
    71,299.50x = 23,998,812,140.25
  5. Step 5: Solve for x
    x = 23,998,812,140.25/71,299.50
  6. Step 6: Final answer
    x = 336,591.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.