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Finding the Third Proportional to 63.00 and 128.50

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Solution

The third proportional to 63.00 and 128.50 is: 262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.00 : 128.50 = 128.50 : x
  2. Step 2: Convert to fraction form
    63.00/128.50 = 128.50/x
  3. Step 3: Cross multiply
    63.00x = 128.50 × 128.50
  4. Step 4: Simplify right side
    63.00x = 16,512.38
  5. Step 5: Solve for x
    x = 16,512.38/63.00
  6. Step 6: Final answer
    x = 262.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.