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Finding the Third Proportional to 53,164 and 115,676

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Solution

The third proportional to 53,164 and 115,676 is: 251,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,164 : 115,676 = 115,676 : x
  2. Step 2: Convert to fraction form
    53,164/115,676 = 115,676/x
  3. Step 3: Cross multiply
    53,164x = 115,676 × 115,676
  4. Step 4: Simplify right side
    53,164x = 13,380,936,976
  5. Step 5: Solve for x
    x = 13,380,936,976/53,164
  6. Step 6: Final answer
    x = 251,691.69

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Why These Related Problems?

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