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Finding the Third Proportional to 139,110 and 208,695

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Solution

The third proportional to 139,110 and 208,695 is: 313,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,110 : 208,695 = 208,695 : x
  2. Step 2: Convert to fraction form
    139,110/208,695 = 208,695/x
  3. Step 3: Cross multiply
    139,110x = 208,695 × 208,695
  4. Step 4: Simplify right side
    139,110x = 43,553,603,025
  5. Step 5: Solve for x
    x = 43,553,603,025/139,110
  6. Step 6: Final answer
    x = 313,087.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.