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Finding the Third Proportional to 56.67 and 106.17

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Solution

The third proportional to 56.67 and 106.17 is: 198.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 106.17 = 106.17 : x
  2. Step 2: Convert to fraction form
    56.67/106.17 = 106.17/x
  3. Step 3: Cross multiply
    56.67x = 106.17 × 106.17
  4. Step 4: Simplify right side
    56.67x = 11,272.47
  5. Step 5: Solve for x
    x = 11,272.47/56.67
  6. Step 6: Final answer
    x = 198.91

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.