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Finding the Third Proportional to 101.46 and 131.90

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Solution

The third proportional to 101.46 and 131.90 is: 171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.46 : 131.90 = 131.90 : x
  2. Step 2: Convert to fraction form
    101.46/131.90 = 131.90/x
  3. Step 3: Cross multiply
    101.46x = 131.90 × 131.90
  4. Step 4: Simplify right side
    101.46x = 17,397.65
  5. Step 5: Solve for x
    x = 17,397.65/101.46
  6. Step 6: Final answer
    x = 171.47

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