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Finding the Third Proportional to 62.63 and 106.13

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Solution

The third proportional to 62.63 and 106.13 is: 179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.63 : 106.13 = 106.13 : x
  2. Step 2: Convert to fraction form
    62.63/106.13 = 106.13/x
  3. Step 3: Cross multiply
    62.63x = 106.13 × 106.13
  4. Step 4: Simplify right side
    62.63x = 11,262.52
  5. Step 5: Solve for x
    x = 11,262.52/62.63
  6. Step 6: Final answer
    x = 179.84

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.