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Finding the Third Proportional to 49,439.25 and 116,651.25

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Solution

The third proportional to 49,439.25 and 116,651.25 is: 275,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,439.25 : 116,651.25 = 116,651.25 : x
  2. Step 2: Convert to fraction form
    49,439.25/116,651.25 = 116,651.25/x
  3. Step 3: Cross multiply
    49,439.25x = 116,651.25 × 116,651.25
  4. Step 4: Simplify right side
    49,439.25x = 13,607,514,126.56
  5. Step 5: Solve for x
    x = 13,607,514,126.56/49,439.25
  6. Step 6: Final answer
    x = 275,237.07

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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.