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Finding the Third Proportional to 96.82 and 130.99

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Solution

The third proportional to 96.82 and 130.99 is: 177.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.82 : 130.99 = 130.99 : x
  2. Step 2: Convert to fraction form
    96.82/130.99 = 130.99/x
  3. Step 3: Cross multiply
    96.82x = 130.99 × 130.99
  4. Step 4: Simplify right side
    96.82x = 17,158.95
  5. Step 5: Solve for x
    x = 17,158.95/96.82
  6. Step 6: Final answer
    x = 177.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.