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Finding the Third Proportional to 57,044.25 and 85,566.38

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Solution

The third proportional to 57,044.25 and 85,566.38 is: 128,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.25 : 85,566.38 = 85,566.38 : x
  2. Step 2: Convert to fraction form
    57,044.25/85,566.38 = 85,566.38/x
  3. Step 3: Cross multiply
    57,044.25x = 85,566.38 × 85,566.38
  4. Step 4: Simplify right side
    57,044.25x = 7,321,604,530.64
  5. Step 5: Solve for x
    x = 7,321,604,530.64/57,044.25
  6. Step 6: Final answer
    x = 128,349.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.