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Finding the Third Proportional to 62,113.50 and 135,027

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Solution

The third proportional to 62,113.50 and 135,027 is: 293,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,113.50 : 135,027 = 135,027 : x
  2. Step 2: Convert to fraction form
    62,113.50/135,027 = 135,027/x
  3. Step 3: Cross multiply
    62,113.50x = 135,027 × 135,027
  4. Step 4: Simplify right side
    62,113.50x = 18,232,290,729
  5. Step 5: Solve for x
    x = 18,232,290,729/62,113.50
  6. Step 6: Final answer
    x = 293,531.85

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Why These Related Problems?

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