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Finding the Third Proportional to 56,344 and 123,848

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Solution

The third proportional to 56,344 and 123,848 is: 272,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,344 : 123,848 = 123,848 : x
  2. Step 2: Convert to fraction form
    56,344/123,848 = 123,848/x
  3. Step 3: Cross multiply
    56,344x = 123,848 × 123,848
  4. Step 4: Simplify right side
    56,344x = 15,338,327,104
  5. Step 5: Solve for x
    x = 15,338,327,104/56,344
  6. Step 6: Final answer
    x = 272,226.45

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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.