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Finding the Third Proportional to 56,424 and 123,918

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Solution

The third proportional to 56,424 and 123,918 is: 272,147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424 : 123,918 = 123,918 : x
  2. Step 2: Convert to fraction form
    56,424/123,918 = 123,918/x
  3. Step 3: Cross multiply
    56,424x = 123,918 × 123,918
  4. Step 4: Simplify right side
    56,424x = 15,355,670,724
  5. Step 5: Solve for x
    x = 15,355,670,724/56,424
  6. Step 6: Final answer
    x = 272,147.86

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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.