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Finding the Third Proportional to 62.97 and 138.13

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Solution

The third proportional to 62.97 and 138.13 is: 302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.97 : 138.13 = 138.13 : x
  2. Step 2: Convert to fraction form
    62.97/138.13 = 138.13/x
  3. Step 3: Cross multiply
    62.97x = 138.13 × 138.13
  4. Step 4: Simplify right side
    62.97x = 19,078.52
  5. Step 5: Solve for x
    x = 19,078.52/62.97
  6. Step 6: Final answer
    x = 302.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.