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Finding the Third Proportional to 95.06 and 120.09

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Solution

The third proportional to 95.06 and 120.09 is: 151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.06 : 120.09 = 120.09 : x
  2. Step 2: Convert to fraction form
    95.06/120.09 = 120.09/x
  3. Step 3: Cross multiply
    95.06x = 120.09 × 120.09
  4. Step 4: Simplify right side
    95.06x = 14,422.51
  5. Step 5: Solve for x
    x = 14,422.51/95.06
  6. Step 6: Final answer
    x = 151.72

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.