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Finding the Third Proportional to 102.19 and 132.75

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Solution

The third proportional to 102.19 and 132.75 is: 172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 132.75 = 132.75 : x
  2. Step 2: Convert to fraction form
    102.19/132.75 = 132.75/x
  3. Step 3: Cross multiply
    102.19x = 132.75 × 132.75
  4. Step 4: Simplify right side
    102.19x = 17,622.56
  5. Step 5: Solve for x
    x = 17,622.56/102.19
  6. Step 6: Final answer
    x = 172.45

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.