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Finding the Third Proportional to 114.94 and 172.03

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Solution

The third proportional to 114.94 and 172.03 is: 257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.94 : 172.03 = 172.03 : x
  2. Step 2: Convert to fraction form
    114.94/172.03 = 172.03/x
  3. Step 3: Cross multiply
    114.94x = 172.03 × 172.03
  4. Step 4: Simplify right side
    114.94x = 29,594.75
  5. Step 5: Solve for x
    x = 29,594.75/114.94
  6. Step 6: Final answer
    x = 257.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.