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Finding the Third Proportional to 125,675.25 and 273,930

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Solution

The third proportional to 125,675.25 and 273,930 is: 597,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,675.25 : 273,930 = 273,930 : x
  2. Step 2: Convert to fraction form
    125,675.25/273,930 = 273,930/x
  3. Step 3: Cross multiply
    125,675.25x = 273,930 × 273,930
  4. Step 4: Simplify right side
    125,675.25x = 75,037,644,900
  5. Step 5: Solve for x
    x = 75,037,644,900/125,675.25
  6. Step 6: Final answer
    x = 597,075.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.