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Finding the Third Proportional to 52,961.25 and 116,582.25

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Solution

The third proportional to 52,961.25 and 116,582.25 is: 256,629.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,961.25 : 116,582.25 = 116,582.25 : x
  2. Step 2: Convert to fraction form
    52,961.25/116,582.25 = 116,582.25/x
  3. Step 3: Cross multiply
    52,961.25x = 116,582.25 × 116,582.25
  4. Step 4: Simplify right side
    52,961.25x = 13,591,421,015.06
  5. Step 5: Solve for x
    x = 13,591,421,015.06/52,961.25
  6. Step 6: Final answer
    x = 256,629.54

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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.