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Finding the Third Proportional to 96.38 and 143.06

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Solution

The third proportional to 96.38 and 143.06 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.38 : 143.06 = 143.06 : x
  2. Step 2: Convert to fraction form
    96.38/143.06 = 143.06/x
  3. Step 3: Cross multiply
    96.38x = 143.06 × 143.06
  4. Step 4: Simplify right side
    96.38x = 20,466.88
  5. Step 5: Solve for x
    x = 20,466.88/96.38
  6. Step 6: Final answer
    x = 212.37

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.