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Finding the Third Proportional to 64.27 and 133.45

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Solution

The third proportional to 64.27 and 133.45 is: 277.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.27 : 133.45 = 133.45 : x
  2. Step 2: Convert to fraction form
    64.27/133.45 = 133.45/x
  3. Step 3: Cross multiply
    64.27x = 133.45 × 133.45
  4. Step 4: Simplify right side
    64.27x = 17,809.74
  5. Step 5: Solve for x
    x = 17,809.74/64.27
  6. Step 6: Final answer
    x = 277.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.