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Finding the Third Proportional to 49,976 and 109,168

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Solution

The third proportional to 49,976 and 109,168 is: 238,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,976 : 109,168 = 109,168 : x
  2. Step 2: Convert to fraction form
    49,976/109,168 = 109,168/x
  3. Step 3: Cross multiply
    49,976x = 109,168 × 109,168
  4. Step 4: Simplify right side
    49,976x = 11,917,652,224
  5. Step 5: Solve for x
    x = 11,917,652,224/49,976
  6. Step 6: Final answer
    x = 238,467.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.