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Finding the Third Proportional to 139,097.25 and 208,676.25

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Solution

The third proportional to 139,097.25 and 208,676.25 is: 313,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,097.25 : 208,676.25 = 208,676.25 : x
  2. Step 2: Convert to fraction form
    139,097.25/208,676.25 = 208,676.25/x
  3. Step 3: Cross multiply
    139,097.25x = 208,676.25 × 208,676.25
  4. Step 4: Simplify right side
    139,097.25x = 43,545,777,314.06
  5. Step 5: Solve for x
    x = 43,545,777,314.06/139,097.25
  6. Step 6: Final answer
    x = 313,059.94

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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.