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Finding the Third Proportional to 53,920 and 116,608

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Solution

The third proportional to 53,920 and 116,608 is: 252,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,920 : 116,608 = 116,608 : x
  2. Step 2: Convert to fraction form
    53,920/116,608 = 116,608/x
  3. Step 3: Cross multiply
    53,920x = 116,608 × 116,608
  4. Step 4: Simplify right side
    53,920x = 13,597,425,664
  5. Step 5: Solve for x
    x = 13,597,425,664/53,920
  6. Step 6: Final answer
    x = 252,177.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.