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Finding the Third Proportional to 53,735.91 and 116,229.94

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Solution

The third proportional to 53,735.91 and 116,229.94 is: 251,403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,735.91 : 116,229.94 = 116,229.94 : x
  2. Step 2: Convert to fraction form
    53,735.91/116,229.94 = 116,229.94/x
  3. Step 3: Cross multiply
    53,735.91x = 116,229.94 × 116,229.94
  4. Step 4: Simplify right side
    53,735.91x = 13,509,398,371.25
  5. Step 5: Solve for x
    x = 13,509,398,371.25/53,735.91
  6. Step 6: Final answer
    x = 251,403.56

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