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Finding the Third Proportional to 65.74 and 141.64

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Solution

The third proportional to 65.74 and 141.64 is: 305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.74 : 141.64 = 141.64 : x
  2. Step 2: Convert to fraction form
    65.74/141.64 = 141.64/x
  3. Step 3: Cross multiply
    65.74x = 141.64 × 141.64
  4. Step 4: Simplify right side
    65.74x = 20,063.17
  5. Step 5: Solve for x
    x = 20,063.17/65.74
  6. Step 6: Final answer
    x = 305.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.