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Finding the Third Proportional to 125.69 and 273.06

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Solution

The third proportional to 125.69 and 273.06 is: 593.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.69 : 273.06 = 273.06 : x
  2. Step 2: Convert to fraction form
    125.69/273.06 = 273.06/x
  3. Step 3: Cross multiply
    125.69x = 273.06 × 273.06
  4. Step 4: Simplify right side
    125.69x = 74,563.13
  5. Step 5: Solve for x
    x = 74,563.13/125.69
  6. Step 6: Final answer
    x = 593.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.