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Finding the Third Proportional to 125,593 and 273,379

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Solution

The third proportional to 125,593 and 273,379 is: 595,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,593 : 273,379 = 273,379 : x
  2. Step 2: Convert to fraction form
    125,593/273,379 = 273,379/x
  3. Step 3: Cross multiply
    125,593x = 273,379 × 273,379
  4. Step 4: Simplify right side
    125,593x = 74,736,077,641
  5. Step 5: Solve for x
    x = 74,736,077,641/125,593
  6. Step 6: Final answer
    x = 595,065.63

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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.