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Finding the Third Proportional to 53,744.25 and 116,691.75

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Solution

The third proportional to 53,744.25 and 116,691.75 is: 253,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,744.25 : 116,691.75 = 116,691.75 : x
  2. Step 2: Convert to fraction form
    53,744.25/116,691.75 = 116,691.75/x
  3. Step 3: Cross multiply
    53,744.25x = 116,691.75 × 116,691.75
  4. Step 4: Simplify right side
    53,744.25x = 13,616,964,518.06
  5. Step 5: Solve for x
    x = 13,616,964,518.06/53,744.25
  6. Step 6: Final answer
    x = 253,365.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.