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Finding the Third Proportional to 56,087 and 123,839

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Solution

The third proportional to 56,087 and 123,839 is: 273,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,087 : 123,839 = 123,839 : x
  2. Step 2: Convert to fraction form
    56,087/123,839 = 123,839/x
  3. Step 3: Cross multiply
    56,087x = 123,839 × 123,839
  4. Step 4: Simplify right side
    56,087x = 15,336,097,921
  5. Step 5: Solve for x
    x = 15,336,097,921/56,087
  6. Step 6: Final answer
    x = 273,434.09

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.