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Finding the Third Proportional to 65.94 and 117.78

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Solution

The third proportional to 65.94 and 117.78 is: 210.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.94 : 117.78 = 117.78 : x
  2. Step 2: Convert to fraction form
    65.94/117.78 = 117.78/x
  3. Step 3: Cross multiply
    65.94x = 117.78 × 117.78
  4. Step 4: Simplify right side
    65.94x = 13,872.42
  5. Step 5: Solve for x
    x = 13,872.42/65.94
  6. Step 6: Final answer
    x = 210.39

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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.