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Finding the Third Proportional to 88.31 and 134.72

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Solution

The third proportional to 88.31 and 134.72 is: 205.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.31 : 134.72 = 134.72 : x
  2. Step 2: Convert to fraction form
    88.31/134.72 = 134.72/x
  3. Step 3: Cross multiply
    88.31x = 134.72 × 134.72
  4. Step 4: Simplify right side
    88.31x = 18,149.14
  5. Step 5: Solve for x
    x = 18,149.14/88.31
  6. Step 6: Final answer
    x = 205.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.