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Finding the Third Proportional to 62.16 and 93.80

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Solution

The third proportional to 62.16 and 93.80 is: 141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.16 : 93.80 = 93.80 : x
  2. Step 2: Convert to fraction form
    62.16/93.80 = 93.80/x
  3. Step 3: Cross multiply
    62.16x = 93.80 × 93.80
  4. Step 4: Simplify right side
    62.16x = 8,797.85
  5. Step 5: Solve for x
    x = 8,797.85/62.16
  6. Step 6: Final answer
    x = 141.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.