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Finding the Third Proportional to 96.45 and 148.39

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Solution

The third proportional to 96.45 and 148.39 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.45 : 148.39 = 148.39 : x
  2. Step 2: Convert to fraction form
    96.45/148.39 = 148.39/x
  3. Step 3: Cross multiply
    96.45x = 148.39 × 148.39
  4. Step 4: Simplify right side
    96.45x = 22,020.94
  5. Step 5: Solve for x
    x = 22,020.94/96.45
  6. Step 6: Final answer
    x = 228.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.