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Finding the Third Proportional to 125,896 and 270,504

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Solution

The third proportional to 125,896 and 270,504 is: 581,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,896 : 270,504 = 270,504 : x
  2. Step 2: Convert to fraction form
    125,896/270,504 = 270,504/x
  3. Step 3: Cross multiply
    125,896x = 270,504 × 270,504
  4. Step 4: Simplify right side
    125,896x = 73,172,414,016
  5. Step 5: Solve for x
    x = 73,172,414,016/125,896
  6. Step 6: Final answer
    x = 581,213.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.