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Finding the Third Proportional to 56,188 and 123,675

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Solution

The third proportional to 56,188 and 123,675 is: 272,220.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,188 : 123,675 = 123,675 : x
  2. Step 2: Convert to fraction form
    56,188/123,675 = 123,675/x
  3. Step 3: Cross multiply
    56,188x = 123,675 × 123,675
  4. Step 4: Simplify right side
    56,188x = 15,295,505,625
  5. Step 5: Solve for x
    x = 15,295,505,625/56,188
  6. Step 6: Final answer
    x = 272,220.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.