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Finding the Third Proportional to 62.65 and 114.62

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Solution

The third proportional to 62.65 and 114.62 is: 209.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.65 : 114.62 = 114.62 : x
  2. Step 2: Convert to fraction form
    62.65/114.62 = 114.62/x
  3. Step 3: Cross multiply
    62.65x = 114.62 × 114.62
  4. Step 4: Simplify right side
    62.65x = 13,137.32
  5. Step 5: Solve for x
    x = 13,137.32/62.65
  6. Step 6: Final answer
    x = 209.70

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.