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Finding the Third Proportional to 53,394.75 and 117,447.75

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Solution

The third proportional to 53,394.75 and 117,447.75 is: 258,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,394.75 : 117,447.75 = 117,447.75 : x
  2. Step 2: Convert to fraction form
    53,394.75/117,447.75 = 117,447.75/x
  3. Step 3: Cross multiply
    53,394.75x = 117,447.75 × 117,447.75
  4. Step 4: Simplify right side
    53,394.75x = 13,793,973,980.06
  5. Step 5: Solve for x
    x = 13,793,973,980.06/53,394.75
  6. Step 6: Final answer
    x = 258,339.52

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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.