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Finding the Third Proportional to 64.75 and 116.19

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Solution

The third proportional to 64.75 and 116.19 is: 208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.75 : 116.19 = 116.19 : x
  2. Step 2: Convert to fraction form
    64.75/116.19 = 116.19/x
  3. Step 3: Cross multiply
    64.75x = 116.19 × 116.19
  4. Step 4: Simplify right side
    64.75x = 13,499.54
  5. Step 5: Solve for x
    x = 13,499.54/64.75
  6. Step 6: Final answer
    x = 208.49

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.