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Finding the Third Proportional to 62.80 and 96.01

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Solution

The third proportional to 62.80 and 96.01 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.80 : 96.01 = 96.01 : x
  2. Step 2: Convert to fraction form
    62.80/96.01 = 96.01/x
  3. Step 3: Cross multiply
    62.80x = 96.01 × 96.01
  4. Step 4: Simplify right side
    62.80x = 9,217.50
  5. Step 5: Solve for x
    x = 9,217.50/62.80
  6. Step 6: Final answer
    x = 146.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.