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Finding the Third Proportional to 139,986 and 215,163

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Solution

The third proportional to 139,986 and 215,163 is: 330,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,986 : 215,163 = 215,163 : x
  2. Step 2: Convert to fraction form
    139,986/215,163 = 215,163/x
  3. Step 3: Cross multiply
    139,986x = 215,163 × 215,163
  4. Step 4: Simplify right side
    139,986x = 46,295,116,569
  5. Step 5: Solve for x
    x = 46,295,116,569/139,986
  6. Step 6: Final answer
    x = 330,712.48

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