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Finding the Third Proportional to 53,954.25 and 118,617.75

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Solution

The third proportional to 53,954.25 and 118,617.75 is: 260,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,954.25 : 118,617.75 = 118,617.75 : x
  2. Step 2: Convert to fraction form
    53,954.25/118,617.75 = 118,617.75/x
  3. Step 3: Cross multiply
    53,954.25x = 118,617.75 × 118,617.75
  4. Step 4: Simplify right side
    53,954.25x = 14,070,170,615.06
  5. Step 5: Solve for x
    x = 14,070,170,615.06/53,954.25
  6. Step 6: Final answer
    x = 260,779.65

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