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Finding the Third Proportional to 56,415.25 and 123,902

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Solution

The third proportional to 56,415.25 and 123,902 is: 272,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415.25 : 123,902 = 123,902 : x
  2. Step 2: Convert to fraction form
    56,415.25/123,902 = 123,902/x
  3. Step 3: Cross multiply
    56,415.25x = 123,902 × 123,902
  4. Step 4: Simplify right side
    56,415.25x = 15,351,705,604
  5. Step 5: Solve for x
    x = 15,351,705,604/56,415.25
  6. Step 6: Final answer
    x = 272,119.78

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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.