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Finding the Third Proportional to 54,192 and 110,640

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Solution

The third proportional to 54,192 and 110,640 is: 225,885.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,192 : 110,640 = 110,640 : x
  2. Step 2: Convert to fraction form
    54,192/110,640 = 110,640/x
  3. Step 3: Cross multiply
    54,192x = 110,640 × 110,640
  4. Step 4: Simplify right side
    54,192x = 12,241,209,600
  5. Step 5: Solve for x
    x = 12,241,209,600/54,192
  6. Step 6: Final answer
    x = 225,885.92

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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.