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Finding the Third Proportional to 139,212 and 217,140.75

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Solution

The third proportional to 139,212 and 217,140.75 is: 338,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,212 : 217,140.75 = 217,140.75 : x
  2. Step 2: Convert to fraction form
    139,212/217,140.75 = 217,140.75/x
  3. Step 3: Cross multiply
    139,212x = 217,140.75 × 217,140.75
  4. Step 4: Simplify right side
    139,212x = 47,150,105,310.56
  5. Step 5: Solve for x
    x = 47,150,105,310.56/139,212
  6. Step 6: Final answer
    x = 338,692.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.