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Finding the Third Proportional to 56,603 and 123,035

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Solution

The third proportional to 56,603 and 123,035 is: 267,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,603 : 123,035 = 123,035 : x
  2. Step 2: Convert to fraction form
    56,603/123,035 = 123,035/x
  3. Step 3: Cross multiply
    56,603x = 123,035 × 123,035
  4. Step 4: Simplify right side
    56,603x = 15,137,611,225
  5. Step 5: Solve for x
    x = 15,137,611,225/56,603
  6. Step 6: Final answer
    x = 267,434.79

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.