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Finding the Third Proportional to 125,027 and 273,790

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Solution

The third proportional to 125,027 and 273,790 is: 599,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,027 : 273,790 = 273,790 : x
  2. Step 2: Convert to fraction form
    125,027/273,790 = 273,790/x
  3. Step 3: Cross multiply
    125,027x = 273,790 × 273,790
  4. Step 4: Simplify right side
    125,027x = 74,960,964,100
  5. Step 5: Solve for x
    x = 74,960,964,100/125,027
  6. Step 6: Final answer
    x = 599,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.