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Finding the Third Proportional to 53,695.50 and 116,241

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Solution

The third proportional to 53,695.50 and 116,241 is: 251,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,695.50 : 116,241 = 116,241 : x
  2. Step 2: Convert to fraction form
    53,695.50/116,241 = 116,241/x
  3. Step 3: Cross multiply
    53,695.50x = 116,241 × 116,241
  4. Step 4: Simplify right side
    53,695.50x = 13,511,970,081
  5. Step 5: Solve for x
    x = 13,511,970,081/53,695.50
  6. Step 6: Final answer
    x = 251,640.64

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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.