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Finding the Third Proportional to 135,742.50 and 212,766.75

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Solution

The third proportional to 135,742.50 and 212,766.75 is: 333,496.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,742.50 : 212,766.75 = 212,766.75 : x
  2. Step 2: Convert to fraction form
    135,742.50/212,766.75 = 212,766.75/x
  3. Step 3: Cross multiply
    135,742.50x = 212,766.75 × 212,766.75
  4. Step 4: Simplify right side
    135,742.50x = 45,269,689,905.56
  5. Step 5: Solve for x
    x = 45,269,689,905.56/135,742.50
  6. Step 6: Final answer
    x = 333,496.80

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.