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Finding the Third Proportional to 57,044.25 and 111,118.50

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Solution

The third proportional to 57,044.25 and 111,118.50 is: 216,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.25 : 111,118.50 = 111,118.50 : x
  2. Step 2: Convert to fraction form
    57,044.25/111,118.50 = 111,118.50/x
  3. Step 3: Cross multiply
    57,044.25x = 111,118.50 × 111,118.50
  4. Step 4: Simplify right side
    57,044.25x = 12,347,321,042.25
  5. Step 5: Solve for x
    x = 12,347,321,042.25/57,044.25
  6. Step 6: Final answer
    x = 216,451.63

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.