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Finding the Third Proportional to 125,274.09 and 275,356.97

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Solution

The third proportional to 125,274.09 and 275,356.97 is: 605,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,274.09 : 275,356.97 = 275,356.97 : x
  2. Step 2: Convert to fraction form
    125,274.09/275,356.97 = 275,356.97/x
  3. Step 3: Cross multiply
    125,274.09x = 275,356.97 × 275,356.97
  4. Step 4: Simplify right side
    125,274.09x = 75,821,460,239.19
  5. Step 5: Solve for x
    x = 75,821,460,239.19/125,274.09
  6. Step 6: Final answer
    x = 605,244.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.