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Finding the Third Proportional to 49,622.25 and 117,044.25

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Solution

The third proportional to 49,622.25 and 117,044.25 is: 276,072.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,622.25 : 117,044.25 = 117,044.25 : x
  2. Step 2: Convert to fraction form
    49,622.25/117,044.25 = 117,044.25/x
  3. Step 3: Cross multiply
    49,622.25x = 117,044.25 × 117,044.25
  4. Step 4: Simplify right side
    49,622.25x = 13,699,356,458.06
  5. Step 5: Solve for x
    x = 13,699,356,458.06/49,622.25
  6. Step 6: Final answer
    x = 276,072.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.