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Finding the Third Proportional to 71,426.81 and 152,353.41

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Solution

The third proportional to 71,426.81 and 152,353.41 is: 324,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,426.81 : 152,353.41 = 152,353.41 : x
  2. Step 2: Convert to fraction form
    71,426.81/152,353.41 = 152,353.41/x
  3. Step 3: Cross multiply
    71,426.81x = 152,353.41 × 152,353.41
  4. Step 4: Simplify right side
    71,426.81x = 23,211,560,395.98
  5. Step 5: Solve for x
    x = 23,211,560,395.98/71,426.81
  6. Step 6: Final answer
    x = 324,969.85

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.