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Finding the Third Proportional to 61.06 and 125.73

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Solution

The third proportional to 61.06 and 125.73 is: 258.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.06 : 125.73 = 125.73 : x
  2. Step 2: Convert to fraction form
    61.06/125.73 = 125.73/x
  3. Step 3: Cross multiply
    61.06x = 125.73 × 125.73
  4. Step 4: Simplify right side
    61.06x = 15,809.13
  5. Step 5: Solve for x
    x = 15,809.13/61.06
  6. Step 6: Final answer
    x = 258.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.