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Finding the Third Proportional to 53,660 and 117,892

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Solution

The third proportional to 53,660 and 117,892 is: 259,010.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,660 : 117,892 = 117,892 : x
  2. Step 2: Convert to fraction form
    53,660/117,892 = 117,892/x
  3. Step 3: Cross multiply
    53,660x = 117,892 × 117,892
  4. Step 4: Simplify right side
    53,660x = 13,898,523,664
  5. Step 5: Solve for x
    x = 13,898,523,664/53,660
  6. Step 6: Final answer
    x = 259,010.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.