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Finding the Third Proportional to 125,039.25 and 273,039.75

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Solution

The third proportional to 125,039.25 and 273,039.75 is: 596,218.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,039.25 : 273,039.75 = 273,039.75 : x
  2. Step 2: Convert to fraction form
    125,039.25/273,039.75 = 273,039.75/x
  3. Step 3: Cross multiply
    125,039.25x = 273,039.75 × 273,039.75
  4. Step 4: Simplify right side
    125,039.25x = 74,550,705,080.06
  5. Step 5: Solve for x
    x = 74,550,705,080.06/125,039.25
  6. Step 6: Final answer
    x = 596,218.43

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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.