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Finding the Third Proportional to 111.94 and 172.90

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Solution

The third proportional to 111.94 and 172.90 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.94 : 172.90 = 172.90 : x
  2. Step 2: Convert to fraction form
    111.94/172.90 = 172.90/x
  3. Step 3: Cross multiply
    111.94x = 172.90 × 172.90
  4. Step 4: Simplify right side
    111.94x = 29,893.87
  5. Step 5: Solve for x
    x = 29,893.87/111.94
  6. Step 6: Final answer
    x = 267.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.