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Finding the Third Proportional to 127,083.38 and 275,087.25

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Solution

The third proportional to 127,083.38 and 275,087.25 is: 595,459.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,083.38 : 275,087.25 = 275,087.25 : x
  2. Step 2: Convert to fraction form
    127,083.38/275,087.25 = 275,087.25/x
  3. Step 3: Cross multiply
    127,083.38x = 275,087.25 × 275,087.25
  4. Step 4: Simplify right side
    127,083.38x = 75,672,995,112.56
  5. Step 5: Solve for x
    x = 75,672,995,112.56/127,083.38
  6. Step 6: Final answer
    x = 595,459.44

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.