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Finding the Third Proportional to 62.37 and 96.15

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Solution

The third proportional to 62.37 and 96.15 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.37 : 96.15 = 96.15 : x
  2. Step 2: Convert to fraction form
    62.37/96.15 = 96.15/x
  3. Step 3: Cross multiply
    62.37x = 96.15 × 96.15
  4. Step 4: Simplify right side
    62.37x = 9,245.27
  5. Step 5: Solve for x
    x = 9,245.27/62.37
  6. Step 6: Final answer
    x = 148.24

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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.