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Finding the Third Proportional to 64 and 136

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Solution

The third proportional to 64 and 136 is: 289

Step by Step Solution

  1. Step 1: Write the proportion equation
    64 : 136 = 136 : x
  2. Step 2: Convert to fraction form
    64/136 = 136/x
  3. Step 3: Cross multiply
    64x = 136 × 136
  4. Step 4: Simplify right side
    64x = 18,496
  5. Step 5: Solve for x
    x = 18,496/64
  6. Step 6: Final answer
    x = 289

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.