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Finding the Third Proportional to 125,922 and 273,997

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Solution

The third proportional to 125,922 and 273,997 is: 596,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,922 : 273,997 = 273,997 : x
  2. Step 2: Convert to fraction form
    125,922/273,997 = 273,997/x
  3. Step 3: Cross multiply
    125,922x = 273,997 × 273,997
  4. Step 4: Simplify right side
    125,922x = 75,074,356,009
  5. Step 5: Solve for x
    x = 75,074,356,009/125,922
  6. Step 6: Final answer
    x = 596,197.30

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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.