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Finding the Third Proportional to 62.84 and 116.69

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Solution

The third proportional to 62.84 and 116.69 is: 216.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.84 : 116.69 = 116.69 : x
  2. Step 2: Convert to fraction form
    62.84/116.69 = 116.69/x
  3. Step 3: Cross multiply
    62.84x = 116.69 × 116.69
  4. Step 4: Simplify right side
    62.84x = 13,615.97
  5. Step 5: Solve for x
    x = 13,615.97/62.84
  6. Step 6: Final answer
    x = 216.66

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.