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Finding the Third Proportional to 49,337 and 108,516

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Solution

The third proportional to 49,337 and 108,516 is: 238,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,337 : 108,516 = 108,516 : x
  2. Step 2: Convert to fraction form
    49,337/108,516 = 108,516/x
  3. Step 3: Cross multiply
    49,337x = 108,516 × 108,516
  4. Step 4: Simplify right side
    49,337x = 11,775,722,256
  5. Step 5: Solve for x
    x = 11,775,722,256/49,337
  6. Step 6: Final answer
    x = 238,679.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.