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Finding the Third Proportional to 39,125.25 and 84,147.75

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Solution

The third proportional to 39,125.25 and 84,147.75 is: 180,978.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,125.25 : 84,147.75 = 84,147.75 : x
  2. Step 2: Convert to fraction form
    39,125.25/84,147.75 = 84,147.75/x
  3. Step 3: Cross multiply
    39,125.25x = 84,147.75 × 84,147.75
  4. Step 4: Simplify right side
    39,125.25x = 7,080,843,830.06
  5. Step 5: Solve for x
    x = 7,080,843,830.06/39,125.25
  6. Step 6: Final answer
    x = 180,978.88

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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.