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Finding the Third Proportional to 56,611 and 123,049

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Solution

The third proportional to 56,611 and 123,049 is: 267,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,611 : 123,049 = 123,049 : x
  2. Step 2: Convert to fraction form
    56,611/123,049 = 123,049/x
  3. Step 3: Cross multiply
    56,611x = 123,049 × 123,049
  4. Step 4: Simplify right side
    56,611x = 15,141,056,401
  5. Step 5: Solve for x
    x = 15,141,056,401/56,611
  6. Step 6: Final answer
    x = 267,457.85

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Why These Related Problems?

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