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Finding the Third Proportional to 62.65 and 136.16

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Solution

The third proportional to 62.65 and 136.16 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 136.16 = 136.16 : x
  2. Step 2: Convert to fraction form
    62.65/136.16 = 136.16/x
  3. Step 3: Cross multiply
    62.65x = 136.16 × 136.16
  4. Step 4: Simplify right side
    62.65x = 18,539.59
  5. Step 5: Solve for x
    x = 18,539.59/62.65
  6. Step 6: Final answer
    x = 295.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.