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Finding the Third Proportional to 132.52 and 202.73

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Solution

The third proportional to 132.52 and 202.73 is: 310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.52 : 202.73 = 202.73 : x
  2. Step 2: Convert to fraction form
    132.52/202.73 = 202.73/x
  3. Step 3: Cross multiply
    132.52x = 202.73 × 202.73
  4. Step 4: Simplify right side
    132.52x = 41,101.23
  5. Step 5: Solve for x
    x = 41,101.23/132.52
  6. Step 6: Final answer
    x = 310.16

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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.