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Finding the Third Proportional to 56,671 and 123,517

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Solution

The third proportional to 56,671 and 123,517 is: 269,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,671 : 123,517 = 123,517 : x
  2. Step 2: Convert to fraction form
    56,671/123,517 = 123,517/x
  3. Step 3: Cross multiply
    56,671x = 123,517 × 123,517
  4. Step 4: Simplify right side
    56,671x = 15,256,449,289
  5. Step 5: Solve for x
    x = 15,256,449,289/56,671
  6. Step 6: Final answer
    x = 269,210.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.