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Finding the Third Proportional to 95.72 and 245.86

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Solution

The third proportional to 95.72 and 245.86 is: 631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.72 : 245.86 = 245.86 : x
  2. Step 2: Convert to fraction form
    95.72/245.86 = 245.86/x
  3. Step 3: Cross multiply
    95.72x = 245.86 × 245.86
  4. Step 4: Simplify right side
    95.72x = 60,447.54
  5. Step 5: Solve for x
    x = 60,447.54/95.72
  6. Step 6: Final answer
    x = 631.52

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.