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Finding the Third Proportional to 64.41 and 141.66

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Solution

The third proportional to 64.41 and 141.66 is: 311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.41 : 141.66 = 141.66 : x
  2. Step 2: Convert to fraction form
    64.41/141.66 = 141.66/x
  3. Step 3: Cross multiply
    64.41x = 141.66 × 141.66
  4. Step 4: Simplify right side
    64.41x = 20,066.49
  5. Step 5: Solve for x
    x = 20,066.49/64.41
  6. Step 6: Final answer
    x = 311.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.