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Finding the Third Proportional to 56,086 and 123,554

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Solution

The third proportional to 56,086 and 123,554 is: 272,181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,086 : 123,554 = 123,554 : x
  2. Step 2: Convert to fraction form
    56,086/123,554 = 123,554/x
  3. Step 3: Cross multiply
    56,086x = 123,554 × 123,554
  4. Step 4: Simplify right side
    56,086x = 15,265,590,916
  5. Step 5: Solve for x
    x = 15,265,590,916/56,086
  6. Step 6: Final answer
    x = 272,181.84

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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.