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Finding the Third Proportional to 132.95 and 195.58

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Solution

The third proportional to 132.95 and 195.58 is: 287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.95 : 195.58 = 195.58 : x
  2. Step 2: Convert to fraction form
    132.95/195.58 = 195.58/x
  3. Step 3: Cross multiply
    132.95x = 195.58 × 195.58
  4. Step 4: Simplify right side
    132.95x = 38,250.80
  5. Step 5: Solve for x
    x = 38,250.80/132.95
  6. Step 6: Final answer
    x = 287.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.