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Finding the Third Proportional to 125.34 and 273.47

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Solution

The third proportional to 125.34 and 273.47 is: 596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.34 : 273.47 = 273.47 : x
  2. Step 2: Convert to fraction form
    125.34/273.47 = 273.47/x
  3. Step 3: Cross multiply
    125.34x = 273.47 × 273.47
  4. Step 4: Simplify right side
    125.34x = 74,785.16
  5. Step 5: Solve for x
    x = 74,785.16/125.34
  6. Step 6: Final answer
    x = 596.64

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Why These Related Problems?

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