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Finding the Third Proportional to 62.46 and 96.11

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Solution

The third proportional to 62.46 and 96.11 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.46 : 96.11 = 96.11 : x
  2. Step 2: Convert to fraction form
    62.46/96.11 = 96.11/x
  3. Step 3: Cross multiply
    62.46x = 96.11 × 96.11
  4. Step 4: Simplify right side
    62.46x = 9,236.26
  5. Step 5: Solve for x
    x = 9,236.26/62.46
  6. Step 6: Final answer
    x = 147.87

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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.