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Finding the Third Proportional to 125,117.44 and 275,142.09

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Solution

The third proportional to 125,117.44 and 275,142.09 is: 605,056.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,117.44 : 275,142.09 = 275,142.09 : x
  2. Step 2: Convert to fraction form
    125,117.44/275,142.09 = 275,142.09/x
  3. Step 3: Cross multiply
    125,117.44x = 275,142.09 × 275,142.09
  4. Step 4: Simplify right side
    125,117.44x = 75,703,171,753.13
  5. Step 5: Solve for x
    x = 75,703,171,753.13/125,117.44
  6. Step 6: Final answer
    x = 605,056.92

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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.