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Finding the Third Proportional to 56,013 and 123,069

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Solution

The third proportional to 56,013 and 123,069 is: 270,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,013 : 123,069 = 123,069 : x
  2. Step 2: Convert to fraction form
    56,013/123,069 = 123,069/x
  3. Step 3: Cross multiply
    56,013x = 123,069 × 123,069
  4. Step 4: Simplify right side
    56,013x = 15,145,978,761
  5. Step 5: Solve for x
    x = 15,145,978,761/56,013
  6. Step 6: Final answer
    x = 270,401.13

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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.