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Finding the Third Proportional to 53,900 and 110,472

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Solution

The third proportional to 53,900 and 110,472 is: 226,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,900 : 110,472 = 110,472 : x
  2. Step 2: Convert to fraction form
    53,900/110,472 = 110,472/x
  3. Step 3: Cross multiply
    53,900x = 110,472 × 110,472
  4. Step 4: Simplify right side
    53,900x = 12,204,062,784
  5. Step 5: Solve for x
    x = 12,204,062,784/53,900
  6. Step 6: Final answer
    x = 226,420.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.