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Finding the Third Proportional to 102.56 and 119.06

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Solution

The third proportional to 102.56 and 119.06 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 119.06 = 119.06 : x
  2. Step 2: Convert to fraction form
    102.56/119.06 = 119.06/x
  3. Step 3: Cross multiply
    102.56x = 119.06 × 119.06
  4. Step 4: Simplify right side
    102.56x = 14,175.88
  5. Step 5: Solve for x
    x = 14,175.88/102.56
  6. Step 6: Final answer
    x = 138.22

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.