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Finding the Third Proportional to 82.90 and 131.31

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Solution

The third proportional to 82.90 and 131.31 is: 207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.90 : 131.31 = 131.31 : x
  2. Step 2: Convert to fraction form
    82.90/131.31 = 131.31/x
  3. Step 3: Cross multiply
    82.90x = 131.31 × 131.31
  4. Step 4: Simplify right side
    82.90x = 17,241.95
  5. Step 5: Solve for x
    x = 17,241.95/82.90
  6. Step 6: Final answer
    x = 207.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.