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Finding the Third Proportional to 52,046.25 and 111,986.25

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Solution

The third proportional to 52,046.25 and 111,986.25 is: 240,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.25 : 111,986.25 = 111,986.25 : x
  2. Step 2: Convert to fraction form
    52,046.25/111,986.25 = 111,986.25/x
  3. Step 3: Cross multiply
    52,046.25x = 111,986.25 × 111,986.25
  4. Step 4: Simplify right side
    52,046.25x = 12,540,920,189.06
  5. Step 5: Solve for x
    x = 12,540,920,189.06/52,046.25
  6. Step 6: Final answer
    x = 240,957.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.