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Finding the Third Proportional to 139,954 and 216,149

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Solution

The third proportional to 139,954 and 216,149 is: 333,826.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,954 : 216,149 = 216,149 : x
  2. Step 2: Convert to fraction form
    139,954/216,149 = 216,149/x
  3. Step 3: Cross multiply
    139,954x = 216,149 × 216,149
  4. Step 4: Simplify right side
    139,954x = 46,720,390,201
  5. Step 5: Solve for x
    x = 46,720,390,201/139,954
  6. Step 6: Final answer
    x = 333,826.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.