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Finding the Third Proportional to 62.94 and 127.06

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Solution

The third proportional to 62.94 and 127.06 is: 256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.94 : 127.06 = 127.06 : x
  2. Step 2: Convert to fraction form
    62.94/127.06 = 127.06/x
  3. Step 3: Cross multiply
    62.94x = 127.06 × 127.06
  4. Step 4: Simplify right side
    62.94x = 16,144.88
  5. Step 5: Solve for x
    x = 16,144.88/62.94
  6. Step 6: Final answer
    x = 256.52

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.