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Finding the Third Proportional to 96.53 and 153.48

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Solution

The third proportional to 96.53 and 153.48 is: 244.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.53 : 153.48 = 153.48 : x
  2. Step 2: Convert to fraction form
    96.53/153.48 = 153.48/x
  3. Step 3: Cross multiply
    96.53x = 153.48 × 153.48
  4. Step 4: Simplify right side
    96.53x = 23,557.41
  5. Step 5: Solve for x
    x = 23,557.41/96.53
  6. Step 6: Final answer
    x = 244.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.