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Finding the Third Proportional to 53,996 and 110,150

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Solution

The third proportional to 53,996 and 110,150 is: 224,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,996 : 110,150 = 110,150 : x
  2. Step 2: Convert to fraction form
    53,996/110,150 = 110,150/x
  3. Step 3: Cross multiply
    53,996x = 110,150 × 110,150
  4. Step 4: Simplify right side
    53,996x = 12,133,022,500
  5. Step 5: Solve for x
    x = 12,133,022,500/53,996
  6. Step 6: Final answer
    x = 224,702.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.