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Finding the Third Proportional to 53,760 and 107,736

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Solution

The third proportional to 53,760 and 107,736 is: 215,904.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,760 : 107,736 = 107,736 : x
  2. Step 2: Convert to fraction form
    53,760/107,736 = 107,736/x
  3. Step 3: Cross multiply
    53,760x = 107,736 × 107,736
  4. Step 4: Simplify right side
    53,760x = 11,607,045,696
  5. Step 5: Solve for x
    x = 11,607,045,696/53,760
  6. Step 6: Final answer
    x = 215,904.87

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.