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Finding the Third Proportional to 62.06 and 137.06

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Solution

The third proportional to 62.06 and 137.06 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.06 : 137.06 = 137.06 : x
  2. Step 2: Convert to fraction form
    62.06/137.06 = 137.06/x
  3. Step 3: Cross multiply
    62.06x = 137.06 × 137.06
  4. Step 4: Simplify right side
    62.06x = 18,786.13
  5. Step 5: Solve for x
    x = 18,786.13/62.06
  6. Step 6: Final answer
    x = 302.70

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.