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Finding the Third Proportional to 53,450.25 and 117,564.75

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Solution

The third proportional to 53,450.25 and 117,564.75 is: 258,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,450.25 : 117,564.75 = 117,564.75 : x
  2. Step 2: Convert to fraction form
    53,450.25/117,564.75 = 117,564.75/x
  3. Step 3: Cross multiply
    53,450.25x = 117,564.75 × 117,564.75
  4. Step 4: Simplify right side
    53,450.25x = 13,821,470,442.56
  5. Step 5: Solve for x
    x = 13,821,470,442.56/53,450.25
  6. Step 6: Final answer
    x = 258,585.70

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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.