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Finding the Third Proportional to 106.94 and 152.92

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Solution

The third proportional to 106.94 and 152.92 is: 218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.94 : 152.92 = 152.92 : x
  2. Step 2: Convert to fraction form
    106.94/152.92 = 152.92/x
  3. Step 3: Cross multiply
    106.94x = 152.92 × 152.92
  4. Step 4: Simplify right side
    106.94x = 23,385.10
  5. Step 5: Solve for x
    x = 23,385.10/106.94
  6. Step 6: Final answer
    x = 218.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.